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Finding the Fourth Proportional to 8,691.84, 11,989.26 and 5,152.50

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Solution

The fourth proportional to 8,691.84, 11,989.26 and 5,152.50 is: 7,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.84 : 11,989.26 = 5,152.50 : x
  2. Step 2: Convert to fraction form
    8,691.84/11,989.26 = 5,152.50/x
  3. Step 3: Cross multiply
    8,691.84x = 11,989.26 × 5,152.50
  4. Step 4: Simplify right side
    8,691.84x = 61,774,662.15
  5. Step 5: Solve for x
    x = 61,774,662.15/8,691.84
  6. Step 6: Final answer
    x = 7,107.20

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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.