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Finding the Fourth Proportional to 10,897.52, 15,040.24 and 6,180.80

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Solution

The fourth proportional to 10,897.52, 15,040.24 and 6,180.80 is: 8,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.52 : 15,040.24 = 6,180.80 : x
  2. Step 2: Convert to fraction form
    10,897.52/15,040.24 = 6,180.80/x
  3. Step 3: Cross multiply
    10,897.52x = 15,040.24 × 6,180.80
  4. Step 4: Simplify right side
    10,897.52x = 92,960,715.39
  5. Step 5: Solve for x
    x = 92,960,715.39/10,897.52
  6. Step 6: Final answer
    x = 8,530.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.