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Finding the Fourth Proportional to 8,402.65, 12,601.04 and 2,477.97

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Solution

The fourth proportional to 8,402.65, 12,601.04 and 2,477.97 is: 3,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.65 : 12,601.04 = 2,477.97 : x
  2. Step 2: Convert to fraction form
    8,402.65/12,601.04 = 2,477.97/x
  3. Step 3: Cross multiply
    8,402.65x = 12,601.04 × 2,477.97
  4. Step 4: Simplify right side
    8,402.65x = 31,224,948.74
  5. Step 5: Solve for x
    x = 31,224,948.74/8,402.65
  6. Step 6: Final answer
    x = 3,716.08

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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.