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Finding the Fourth Proportional to 1,947.40, 2,921.10 and 648.70

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Solution

The fourth proportional to 1,947.40, 2,921.10 and 648.70 is: 973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.40 : 2,921.10 = 648.70 : x
  2. Step 2: Convert to fraction form
    1,947.40/2,921.10 = 648.70/x
  3. Step 3: Cross multiply
    1,947.40x = 2,921.10 × 648.70
  4. Step 4: Simplify right side
    1,947.40x = 1,894,917.57
  5. Step 5: Solve for x
    x = 1,894,917.57/1,947.40
  6. Step 6: Final answer
    x = 973.05

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.