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Finding the Fourth Proportional to 6,472.25, 8,920.94 and 4,581.40

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Solution

The fourth proportional to 6,472.25, 8,920.94 and 4,581.40 is: 6,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.25 : 8,920.94 = 4,581.40 : x
  2. Step 2: Convert to fraction form
    6,472.25/8,920.94 = 4,581.40/x
  3. Step 3: Cross multiply
    6,472.25x = 8,920.94 × 4,581.40
  4. Step 4: Simplify right side
    6,472.25x = 40,870,394.52
  5. Step 5: Solve for x
    x = 40,870,394.52/6,472.25
  6. Step 6: Final answer
    x = 6,314.72

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