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Finding the Fourth Proportional to 5,657.49, 8,478.47 and 4,269.69

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Solution

The fourth proportional to 5,657.49, 8,478.47 and 4,269.69 is: 6,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.49 : 8,478.47 = 4,269.69 : x
  2. Step 2: Convert to fraction form
    5,657.49/8,478.47 = 4,269.69/x
  3. Step 3: Cross multiply
    5,657.49x = 8,478.47 × 4,269.69
  4. Step 4: Simplify right side
    5,657.49x = 36,200,449.25
  5. Step 5: Solve for x
    x = 36,200,449.25/5,657.49
  6. Step 6: Final answer
    x = 6,398.68

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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.