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Finding the Fourth Proportional to 12,703.60, 17,531.60 and 7,667.74

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Solution

The fourth proportional to 12,703.60, 17,531.60 and 7,667.74 is: 10,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.60 : 17,531.60 = 7,667.74 : x
  2. Step 2: Convert to fraction form
    12,703.60/17,531.60 = 7,667.74/x
  3. Step 3: Cross multiply
    12,703.60x = 17,531.60 × 7,667.74
  4. Step 4: Simplify right side
    12,703.60x = 134,427,668.42
  5. Step 5: Solve for x
    x = 134,427,668.42/12,703.60
  6. Step 6: Final answer
    x = 10,581.86

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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.