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Finding the Fourth Proportional to 10,520.88, 15,786 and 5,589.32

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Solution

The fourth proportional to 10,520.88, 15,786 and 5,589.32 is: 8,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.88 : 15,786 = 5,589.32 : x
  2. Step 2: Convert to fraction form
    10,520.88/15,786 = 5,589.32/x
  3. Step 3: Cross multiply
    10,520.88x = 15,786 × 5,589.32
  4. Step 4: Simplify right side
    10,520.88x = 88,233,005.52
  5. Step 5: Solve for x
    x = 88,233,005.52/10,520.88
  6. Step 6: Final answer
    x = 8,386.47

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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.