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Finding the Fourth Proportional to 12,728.70, 17,565.28 and 7,063.42

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Solution

The fourth proportional to 12,728.70, 17,565.28 and 7,063.42 is: 9,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.70 : 17,565.28 = 7,063.42 : x
  2. Step 2: Convert to fraction form
    12,728.70/17,565.28 = 7,063.42/x
  3. Step 3: Cross multiply
    12,728.70x = 17,565.28 × 7,063.42
  4. Step 4: Simplify right side
    12,728.70x = 124,070,950.06
  5. Step 5: Solve for x
    x = 124,070,950.06/12,728.70
  6. Step 6: Final answer
    x = 9,747.34

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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.