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Finding the Fourth Proportional to 10,614.63, 15,915.77 and 7,805.15

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Solution

The fourth proportional to 10,614.63, 15,915.77 and 7,805.15 is: 11,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.63 : 15,915.77 = 7,805.15 : x
  2. Step 2: Convert to fraction form
    10,614.63/15,915.77 = 7,805.15/x
  3. Step 3: Cross multiply
    10,614.63x = 15,915.77 × 7,805.15
  4. Step 4: Simplify right side
    10,614.63x = 124,224,972.22
  5. Step 5: Solve for x
    x = 124,224,972.22/10,614.63
  6. Step 6: Final answer
    x = 11,703.18

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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.