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Finding the Fourth Proportional to 5,728.40, 8,631.60 and 4,711.17

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Solution

The fourth proportional to 5,728.40, 8,631.60 and 4,711.17 is: 7,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.40 : 8,631.60 = 4,711.17 : x
  2. Step 2: Convert to fraction form
    5,728.40/8,631.60 = 4,711.17/x
  3. Step 3: Cross multiply
    5,728.40x = 8,631.60 × 4,711.17
  4. Step 4: Simplify right side
    5,728.40x = 40,664,917.31
  5. Step 5: Solve for x
    x = 40,664,917.31/5,728.40
  6. Step 6: Final answer
    x = 7,098.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.