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Finding the Fourth Proportional to 1,947.02, 2,915.86 and 1,713.55

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Solution

The fourth proportional to 1,947.02, 2,915.86 and 1,713.55 is: 2,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.02 : 2,915.86 = 1,713.55 : x
  2. Step 2: Convert to fraction form
    1,947.02/2,915.86 = 1,713.55/x
  3. Step 3: Cross multiply
    1,947.02x = 2,915.86 × 1,713.55
  4. Step 4: Simplify right side
    1,947.02x = 4,996,471.90
  5. Step 5: Solve for x
    x = 4,996,471.90/1,947.02
  6. Step 6: Final answer
    x = 2,566.21

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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.