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Finding the Fourth Proportional to 5,780.68, 8,672.52 and 1,620.70

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Solution

The fourth proportional to 5,780.68, 8,672.52 and 1,620.70 is: 2,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.68 : 8,672.52 = 1,620.70 : x
  2. Step 2: Convert to fraction form
    5,780.68/8,672.52 = 1,620.70/x
  3. Step 3: Cross multiply
    5,780.68x = 8,672.52 × 1,620.70
  4. Step 4: Simplify right side
    5,780.68x = 14,055,553.16
  5. Step 5: Solve for x
    x = 14,055,553.16/5,780.68
  6. Step 6: Final answer
    x = 2,431.47

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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.