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Finding the Fourth Proportional to 10,079, 13,909.02 and 5,887.28

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Solution

The fourth proportional to 10,079, 13,909.02 and 5,887.28 is: 8,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079 : 13,909.02 = 5,887.28 : x
  2. Step 2: Convert to fraction form
    10,079/13,909.02 = 5,887.28/x
  3. Step 3: Cross multiply
    10,079x = 13,909.02 × 5,887.28
  4. Step 4: Simplify right side
    10,079x = 81,886,295.27
  5. Step 5: Solve for x
    x = 81,886,295.27/10,079
  6. Step 6: Final answer
    x = 8,124.45

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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.