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Finding the Fourth Proportional to 8,460.59, 12,693.92 and 3,780.20

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Solution

The fourth proportional to 8,460.59, 12,693.92 and 3,780.20 is: 5,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.59 : 12,693.92 = 3,780.20 : x
  2. Step 2: Convert to fraction form
    8,460.59/12,693.92 = 3,780.20/x
  3. Step 3: Cross multiply
    8,460.59x = 12,693.92 × 3,780.20
  4. Step 4: Simplify right side
    8,460.59x = 47,985,569.22
  5. Step 5: Solve for x
    x = 47,985,569.22/8,460.59
  6. Step 6: Final answer
    x = 5,671.66

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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.