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Finding the Fourth Proportional to 8,701.60, 12,009.36 and 5,908

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Solution

The fourth proportional to 8,701.60, 12,009.36 and 5,908 is: 8,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.60 : 12,009.36 = 5,908 : x
  2. Step 2: Convert to fraction form
    8,701.60/12,009.36 = 5,908/x
  3. Step 3: Cross multiply
    8,701.60x = 12,009.36 × 5,908
  4. Step 4: Simplify right side
    8,701.60x = 70,951,298.88
  5. Step 5: Solve for x
    x = 70,951,298.88/8,701.60
  6. Step 6: Final answer
    x = 8,153.82

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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.