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Finding the Fourth Proportional to 9,294.70, 12,821.07 and 6,151.90

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Solution

The fourth proportional to 9,294.70, 12,821.07 and 6,151.90 is: 8,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.70 : 12,821.07 = 6,151.90 : x
  2. Step 2: Convert to fraction form
    9,294.70/12,821.07 = 6,151.90/x
  3. Step 3: Cross multiply
    9,294.70x = 12,821.07 × 6,151.90
  4. Step 4: Simplify right side
    9,294.70x = 78,873,940.53
  5. Step 5: Solve for x
    x = 78,873,940.53/9,294.70
  6. Step 6: Final answer
    x = 8,485.90

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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.