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Finding the Fourth Proportional to 12,991.68, 17,928.54 and 7,402.68

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Solution

The fourth proportional to 12,991.68, 17,928.54 and 7,402.68 is: 10,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.68 : 17,928.54 = 7,402.68 : x
  2. Step 2: Convert to fraction form
    12,991.68/17,928.54 = 7,402.68/x
  3. Step 3: Cross multiply
    12,991.68x = 17,928.54 × 7,402.68
  4. Step 4: Simplify right side
    12,991.68x = 132,719,244.49
  5. Step 5: Solve for x
    x = 132,719,244.49/12,991.68
  6. Step 6: Final answer
    x = 10,215.71

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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.