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Finding the Fourth Proportional to 2,909.92, 4,017 and 1,915.72

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Solution

The fourth proportional to 2,909.92, 4,017 and 1,915.72 is: 2,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.92 : 4,017 = 1,915.72 : x
  2. Step 2: Convert to fraction form
    2,909.92/4,017 = 1,915.72/x
  3. Step 3: Cross multiply
    2,909.92x = 4,017 × 1,915.72
  4. Step 4: Simplify right side
    2,909.92x = 7,695,447.24
  5. Step 5: Solve for x
    x = 7,695,447.24/2,909.92
  6. Step 6: Final answer
    x = 2,644.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.