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Finding the Fourth Proportional to 8,381.74, 12,574.95 and 2,538.40

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Solution

The fourth proportional to 8,381.74, 12,574.95 and 2,538.40 is: 3,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.74 : 12,574.95 = 2,538.40 : x
  2. Step 2: Convert to fraction form
    8,381.74/12,574.95 = 2,538.40/x
  3. Step 3: Cross multiply
    8,381.74x = 12,574.95 × 2,538.40
  4. Step 4: Simplify right side
    8,381.74x = 31,920,253.08
  5. Step 5: Solve for x
    x = 31,920,253.08/8,381.74
  6. Step 6: Final answer
    x = 3,808.31

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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.