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Finding the Fourth Proportional to 11,397.64, 15,742.74 and 8,248.84

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Solution

The fourth proportional to 11,397.64, 15,742.74 and 8,248.84 is: 11,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.64 : 15,742.74 = 8,248.84 : x
  2. Step 2: Convert to fraction form
    11,397.64/15,742.74 = 8,248.84/x
  3. Step 3: Cross multiply
    11,397.64x = 15,742.74 × 8,248.84
  4. Step 4: Simplify right side
    11,397.64x = 129,859,343.42
  5. Step 5: Solve for x
    x = 129,859,343.42/11,397.64
  6. Step 6: Final answer
    x = 11,393.53

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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.