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Finding the Fourth Proportional to 1,947.60, 2,921.04 and 649.08

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Solution

The fourth proportional to 1,947.60, 2,921.04 and 649.08 is: 973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.60 : 2,921.04 = 649.08 : x
  2. Step 2: Convert to fraction form
    1,947.60/2,921.04 = 649.08/x
  3. Step 3: Cross multiply
    1,947.60x = 2,921.04 × 649.08
  4. Step 4: Simplify right side
    1,947.60x = 1,895,988.64
  5. Step 5: Solve for x
    x = 1,895,988.64/1,947.60
  6. Step 6: Final answer
    x = 973.50

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.