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Finding the Fourth Proportional to 8,298.59, 12,449.90 and 4,140.59

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Solution

The fourth proportional to 8,298.59, 12,449.90 and 4,140.59 is: 6,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.59 : 12,449.90 = 4,140.59 : x
  2. Step 2: Convert to fraction form
    8,298.59/12,449.90 = 4,140.59/x
  3. Step 3: Cross multiply
    8,298.59x = 12,449.90 × 4,140.59
  4. Step 4: Simplify right side
    8,298.59x = 51,549,879.54
  5. Step 5: Solve for x
    x = 51,549,879.54/8,298.59
  6. Step 6: Final answer
    x = 6,211.89

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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.