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Finding the Fourth Proportional to 9,901.36, 13,662 and 6,124.96

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Solution

The fourth proportional to 9,901.36, 13,662 and 6,124.96 is: 8,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.36 : 13,662 = 6,124.96 : x
  2. Step 2: Convert to fraction form
    9,901.36/13,662 = 6,124.96/x
  3. Step 3: Cross multiply
    9,901.36x = 13,662 × 6,124.96
  4. Step 4: Simplify right side
    9,901.36x = 83,679,203.52
  5. Step 5: Solve for x
    x = 83,679,203.52/9,901.36
  6. Step 6: Final answer
    x = 8,451.28

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Why These Related Problems?

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