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Finding the Fourth Proportional to 8,381.61, 12,573.02 and 2,538.68

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Solution

The fourth proportional to 8,381.61, 12,573.02 and 2,538.68 is: 3,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.61 : 12,573.02 = 2,538.68 : x
  2. Step 2: Convert to fraction form
    8,381.61/12,573.02 = 2,538.68/x
  3. Step 3: Cross multiply
    8,381.61x = 12,573.02 × 2,538.68
  4. Step 4: Simplify right side
    8,381.61x = 31,918,798.86
  5. Step 5: Solve for x
    x = 31,918,798.86/8,381.61
  6. Step 6: Final answer
    x = 3,808.19

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1.5x scale

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.