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Finding the Fourth Proportional to 6,489.60, 8,946.50 and 5,490.86

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Solution

The fourth proportional to 6,489.60, 8,946.50 and 5,490.86 is: 7,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.60 : 8,946.50 = 5,490.86 : x
  2. Step 2: Convert to fraction form
    6,489.60/8,946.50 = 5,490.86/x
  3. Step 3: Cross multiply
    6,489.60x = 8,946.50 × 5,490.86
  4. Step 4: Simplify right side
    6,489.60x = 49,123,978.99
  5. Step 5: Solve for x
    x = 49,123,978.99/6,489.60
  6. Step 6: Final answer
    x = 7,569.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.