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Finding the Fourth Proportional to 10,649.10, 15,956.07 and 6,476.49

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Solution

The fourth proportional to 10,649.10, 15,956.07 and 6,476.49 is: 9,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.10 : 15,956.07 = 6,476.49 : x
  2. Step 2: Convert to fraction form
    10,649.10/15,956.07 = 6,476.49/x
  3. Step 3: Cross multiply
    10,649.10x = 15,956.07 × 6,476.49
  4. Step 4: Simplify right side
    10,649.10x = 103,339,327.79
  5. Step 5: Solve for x
    x = 103,339,327.79/10,649.10
  6. Step 6: Final answer
    x = 9,704.04

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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.