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Finding the Fourth Proportional to 20,046.24, 27,658.82 and 12,964.12

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Solution

The fourth proportional to 20,046.24, 27,658.82 and 12,964.12 is: 17,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.24 : 27,658.82 = 12,964.12 : x
  2. Step 2: Convert to fraction form
    20,046.24/27,658.82 = 12,964.12/x
  3. Step 3: Cross multiply
    20,046.24x = 27,658.82 × 12,964.12
  4. Step 4: Simplify right side
    20,046.24x = 358,572,261.54
  5. Step 5: Solve for x
    x = 358,572,261.54/20,046.24
  6. Step 6: Final answer
    x = 17,887.26

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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.