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Finding the Fourth Proportional to 13,648.64, 20,472.88 and 11,794.12

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Solution

The fourth proportional to 13,648.64, 20,472.88 and 11,794.12 is: 17,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.64 : 20,472.88 = 11,794.12 : x
  2. Step 2: Convert to fraction form
    13,648.64/20,472.88 = 11,794.12/x
  3. Step 3: Cross multiply
    13,648.64x = 20,472.88 × 11,794.12
  4. Step 4: Simplify right side
    13,648.64x = 241,459,603.47
  5. Step 5: Solve for x
    x = 241,459,603.47/13,648.64
  6. Step 6: Final answer
    x = 17,691.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.