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Finding the Fourth Proportional to 9,989.14, 13,780.74 and 6,007.90

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Solution

The fourth proportional to 9,989.14, 13,780.74 and 6,007.90 is: 8,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.14 : 13,780.74 = 6,007.90 : x
  2. Step 2: Convert to fraction form
    9,989.14/13,780.74 = 6,007.90/x
  3. Step 3: Cross multiply
    9,989.14x = 13,780.74 × 6,007.90
  4. Step 4: Simplify right side
    9,989.14x = 82,793,307.85
  5. Step 5: Solve for x
    x = 82,793,307.85/9,989.14
  6. Step 6: Final answer
    x = 8,288.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.