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Finding the Fourth Proportional to 10,614.70, 15,915.87 and 7,805.21

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Solution

The fourth proportional to 10,614.70, 15,915.87 and 7,805.21 is: 11,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.70 : 15,915.87 = 7,805.21 : x
  2. Step 2: Convert to fraction form
    10,614.70/15,915.87 = 7,805.21/x
  3. Step 3: Cross multiply
    10,614.70x = 15,915.87 × 7,805.21
  4. Step 4: Simplify right side
    10,614.70x = 124,226,668.66
  5. Step 5: Solve for x
    x = 124,226,668.66/10,614.70
  6. Step 6: Final answer
    x = 11,703.27

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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.