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Finding the Fourth Proportional to 8,951.68, 13,429.86 and 5,257

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Solution

The fourth proportional to 8,951.68, 13,429.86 and 5,257 is: 7,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.68 : 13,429.86 = 5,257 : x
  2. Step 2: Convert to fraction form
    8,951.68/13,429.86 = 5,257/x
  3. Step 3: Cross multiply
    8,951.68x = 13,429.86 × 5,257
  4. Step 4: Simplify right side
    8,951.68x = 70,600,774.02
  5. Step 5: Solve for x
    x = 70,600,774.02/8,951.68
  6. Step 6: Final answer
    x = 7,886.87

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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.