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Finding the Fourth Proportional to 10,446.64, 15,649.92 and 6,486.16

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Solution

The fourth proportional to 10,446.64, 15,649.92 and 6,486.16 is: 9,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.64 : 15,649.92 = 6,486.16 : x
  2. Step 2: Convert to fraction form
    10,446.64/15,649.92 = 6,486.16/x
  3. Step 3: Cross multiply
    10,446.64x = 15,649.92 × 6,486.16
  4. Step 4: Simplify right side
    10,446.64x = 101,507,885.11
  5. Step 5: Solve for x
    x = 101,507,885.11/10,446.64
  6. Step 6: Final answer
    x = 9,716.80

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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.