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Finding the Fourth Proportional to 9,642, 14,468.40 and 9,568.56

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Solution

The fourth proportional to 9,642, 14,468.40 and 9,568.56 is: 14,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642 : 14,468.40 = 9,568.56 : x
  2. Step 2: Convert to fraction form
    9,642/14,468.40 = 9,568.56/x
  3. Step 3: Cross multiply
    9,642x = 14,468.40 × 9,568.56
  4. Step 4: Simplify right side
    9,642x = 138,441,753.50
  5. Step 5: Solve for x
    x = 138,441,753.50/9,642
  6. Step 6: Final answer
    x = 14,358.20

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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.