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Finding the Fourth Proportional to 9,493.20, 13,117.98 and 8,230.20

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Solution

The fourth proportional to 9,493.20, 13,117.98 and 8,230.20 is: 11,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.20 : 13,117.98 = 8,230.20 : x
  2. Step 2: Convert to fraction form
    9,493.20/13,117.98 = 8,230.20/x
  3. Step 3: Cross multiply
    9,493.20x = 13,117.98 × 8,230.20
  4. Step 4: Simplify right side
    9,493.20x = 107,963,599.00
  5. Step 5: Solve for x
    x = 107,963,599.00/9,493.20
  6. Step 6: Final answer
    x = 11,372.73

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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.