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Finding the Fourth Proportional to 10,602.88, 15,904.31 and 5,985.88

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Solution

The fourth proportional to 10,602.88, 15,904.31 and 5,985.88 is: 8,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.88 : 15,904.31 = 5,985.88 : x
  2. Step 2: Convert to fraction form
    10,602.88/15,904.31 = 5,985.88/x
  3. Step 3: Cross multiply
    10,602.88x = 15,904.31 × 5,985.88
  4. Step 4: Simplify right side
    10,602.88x = 95,201,291.14
  5. Step 5: Solve for x
    x = 95,201,291.14/10,602.88
  6. Step 6: Final answer
    x = 8,978.81

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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.