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Finding the Fourth Proportional to 8,637.74, 12,956.90 and 2,397.82

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Solution

The fourth proportional to 8,637.74, 12,956.90 and 2,397.82 is: 3,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.74 : 12,956.90 = 2,397.82 : x
  2. Step 2: Convert to fraction form
    8,637.74/12,956.90 = 2,397.82/x
  3. Step 3: Cross multiply
    8,637.74x = 12,956.90 × 2,397.82
  4. Step 4: Simplify right side
    8,637.74x = 31,068,313.96
  5. Step 5: Solve for x
    x = 31,068,313.96/8,637.74
  6. Step 6: Final answer
    x = 3,596.81

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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.