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Finding the Fourth Proportional to 9,988.57, 14,978.22 and 5,829.78

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Solution

The fourth proportional to 9,988.57, 14,978.22 and 5,829.78 is: 8,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.57 : 14,978.22 = 5,829.78 : x
  2. Step 2: Convert to fraction form
    9,988.57/14,978.22 = 5,829.78/x
  3. Step 3: Cross multiply
    9,988.57x = 14,978.22 × 5,829.78
  4. Step 4: Simplify right side
    9,988.57x = 87,319,727.39
  5. Step 5: Solve for x
    x = 87,319,727.39/9,988.57
  6. Step 6: Final answer
    x = 8,741.96

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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.