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Finding the Fourth Proportional to 9,715.76, 13,394.16 and 8,217.66

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Solution

The fourth proportional to 9,715.76, 13,394.16 and 8,217.66 is: 11,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.76 : 13,394.16 = 8,217.66 : x
  2. Step 2: Convert to fraction form
    9,715.76/13,394.16 = 8,217.66/x
  3. Step 3: Cross multiply
    9,715.76x = 13,394.16 × 8,217.66
  4. Step 4: Simplify right side
    9,715.76x = 110,068,652.87
  5. Step 5: Solve for x
    x = 110,068,652.87/9,715.76
  6. Step 6: Final answer
    x = 11,328.88

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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.