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Finding the Fourth Proportional to 8,566.77, 12,830.40 and 8,271.30

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Solution

The fourth proportional to 8,566.77, 12,830.40 and 8,271.30 is: 12,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.77 : 12,830.40 = 8,271.30 : x
  2. Step 2: Convert to fraction form
    8,566.77/12,830.40 = 8,271.30/x
  3. Step 3: Cross multiply
    8,566.77x = 12,830.40 × 8,271.30
  4. Step 4: Simplify right side
    8,566.77x = 106,124,087.52
  5. Step 5: Solve for x
    x = 106,124,087.52/8,566.77
  6. Step 6: Final answer
    x = 12,387.88

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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.