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Finding the Fourth Proportional to 1,947.45, 2,921.64 and 648.93

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Solution

The fourth proportional to 1,947.45, 2,921.64 and 648.93 is: 973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.45 : 2,921.64 = 648.93 : x
  2. Step 2: Convert to fraction form
    1,947.45/2,921.64 = 648.93/x
  3. Step 3: Cross multiply
    1,947.45x = 2,921.64 × 648.93
  4. Step 4: Simplify right side
    1,947.45x = 1,895,939.85
  5. Step 5: Solve for x
    x = 1,895,939.85/1,947.45
  6. Step 6: Final answer
    x = 973.55

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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.