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Finding the Fourth Proportional to 10,553.86, 15,855.30 and 9,987

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Solution

The fourth proportional to 10,553.86, 15,855.30 and 9,987 is: 15,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.86 : 15,855.30 = 9,987 : x
  2. Step 2: Convert to fraction form
    10,553.86/15,855.30 = 9,987/x
  3. Step 3: Cross multiply
    10,553.86x = 15,855.30 × 9,987
  4. Step 4: Simplify right side
    10,553.86x = 158,346,881.10
  5. Step 5: Solve for x
    x = 158,346,881.10/10,553.86
  6. Step 6: Final answer
    x = 15,003.69

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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.