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Finding the Fourth Proportional to 13,665.52, 20,500.61 and 6,270.61

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Solution

The fourth proportional to 13,665.52, 20,500.61 and 6,270.61 is: 9,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.52 : 20,500.61 = 6,270.61 : x
  2. Step 2: Convert to fraction form
    13,665.52/20,500.61 = 6,270.61/x
  3. Step 3: Cross multiply
    13,665.52x = 20,500.61 × 6,270.61
  4. Step 4: Simplify right side
    13,665.52x = 128,551,330.07
  5. Step 5: Solve for x
    x = 128,551,330.07/13,665.52
  6. Step 6: Final answer
    x = 9,406.98

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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.