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Finding the Fourth Proportional to 12,747.51, 17,591.72 and 7,712.28

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Solution

The fourth proportional to 12,747.51, 17,591.72 and 7,712.28 is: 10,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.51 : 17,591.72 = 7,712.28 : x
  2. Step 2: Convert to fraction form
    12,747.51/17,591.72 = 7,712.28/x
  3. Step 3: Cross multiply
    12,747.51x = 17,591.72 × 7,712.28
  4. Step 4: Simplify right side
    12,747.51x = 135,672,231.76
  5. Step 5: Solve for x
    x = 135,672,231.76/12,747.51
  6. Step 6: Final answer
    x = 10,643.04

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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.