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Finding the Fourth Proportional to 10,554.62, 15,837.44 and 7,656.85

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Solution

The fourth proportional to 10,554.62, 15,837.44 and 7,656.85 is: 11,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.62 : 15,837.44 = 7,656.85 : x
  2. Step 2: Convert to fraction form
    10,554.62/15,837.44 = 7,656.85/x
  3. Step 3: Cross multiply
    10,554.62x = 15,837.44 × 7,656.85
  4. Step 4: Simplify right side
    10,554.62x = 121,264,902.46
  5. Step 5: Solve for x
    x = 121,264,902.46/10,554.62
  6. Step 6: Final answer
    x = 11,489.27

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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.