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Finding the Fourth Proportional to 10,102, 15,151.36 and 7,171.44

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Solution

The fourth proportional to 10,102, 15,151.36 and 7,171.44 is: 10,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102 : 15,151.36 = 7,171.44 : x
  2. Step 2: Convert to fraction form
    10,102/15,151.36 = 7,171.44/x
  3. Step 3: Cross multiply
    10,102x = 15,151.36 × 7,171.44
  4. Step 4: Simplify right side
    10,102x = 108,657,069.16
  5. Step 5: Solve for x
    x = 108,657,069.16/10,102
  6. Step 6: Final answer
    x = 10,756.00

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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.