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Finding the Fourth Proportional to 5,781.80, 8,672.59 and 1,621.74

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Solution

The fourth proportional to 5,781.80, 8,672.59 and 1,621.74 is: 2,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.80 : 8,672.59 = 1,621.74 : x
  2. Step 2: Convert to fraction form
    5,781.80/8,672.59 = 1,621.74/x
  3. Step 3: Cross multiply
    5,781.80x = 8,672.59 × 1,621.74
  4. Step 4: Simplify right side
    5,781.80x = 14,064,686.11
  5. Step 5: Solve for x
    x = 14,064,686.11/5,781.80
  6. Step 6: Final answer
    x = 2,432.58

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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.