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Finding the Fourth Proportional to 8,670.80, 11,965.71 and 4,691.91

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Solution

The fourth proportional to 8,670.80, 11,965.71 and 4,691.91 is: 6,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.80 : 11,965.71 = 4,691.91 : x
  2. Step 2: Convert to fraction form
    8,670.80/11,965.71 = 4,691.91/x
  3. Step 3: Cross multiply
    8,670.80x = 11,965.71 × 4,691.91
  4. Step 4: Simplify right side
    8,670.80x = 56,142,034.41
  5. Step 5: Solve for x
    x = 56,142,034.41/8,670.80
  6. Step 6: Final answer
    x = 6,474.84

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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.