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Finding the Fourth Proportional to 8,670.66, 11,965.50 and 4,691.76

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Solution

The fourth proportional to 8,670.66, 11,965.50 and 4,691.76 is: 6,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.66 : 11,965.50 = 4,691.76 : x
  2. Step 2: Convert to fraction form
    8,670.66/11,965.50 = 4,691.76/x
  3. Step 3: Cross multiply
    8,670.66x = 11,965.50 × 4,691.76
  4. Step 4: Simplify right side
    8,670.66x = 56,139,254.28
  5. Step 5: Solve for x
    x = 56,139,254.28/8,670.66
  6. Step 6: Final answer
    x = 6,474.62

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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.