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Finding the Fourth Proportional to 10,656.20, 15,965.22 and 6,494.02

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Solution

The fourth proportional to 10,656.20, 15,965.22 and 6,494.02 is: 9,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.20 : 15,965.22 = 6,494.02 : x
  2. Step 2: Convert to fraction form
    10,656.20/15,965.22 = 6,494.02/x
  3. Step 3: Cross multiply
    10,656.20x = 15,965.22 × 6,494.02
  4. Step 4: Simplify right side
    10,656.20x = 103,678,405.90
  5. Step 5: Solve for x
    x = 103,678,405.90/10,656.20
  6. Step 6: Final answer
    x = 9,729.40

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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.