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Finding the Fourth Proportional to 10,531.88, 15,784.86 and 8,587.88

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Solution

The fourth proportional to 10,531.88, 15,784.86 and 8,587.88 is: 12,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.88 : 15,784.86 = 8,587.88 : x
  2. Step 2: Convert to fraction form
    10,531.88/15,784.86 = 8,587.88/x
  3. Step 3: Cross multiply
    10,531.88x = 15,784.86 × 8,587.88
  4. Step 4: Simplify right side
    10,531.88x = 135,558,483.50
  5. Step 5: Solve for x
    x = 135,558,483.50/10,531.88
  6. Step 6: Final answer
    x = 12,871.25

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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.