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Finding the Fourth Proportional to 11,580.72, 15,966.36 and 7,381.68

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Solution

The fourth proportional to 11,580.72, 15,966.36 and 7,381.68 is: 10,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.72 : 15,966.36 = 7,381.68 : x
  2. Step 2: Convert to fraction form
    11,580.72/15,966.36 = 7,381.68/x
  3. Step 3: Cross multiply
    11,580.72x = 15,966.36 × 7,381.68
  4. Step 4: Simplify right side
    11,580.72x = 117,858,560.28
  5. Step 5: Solve for x
    x = 117,858,560.28/11,580.72
  6. Step 6: Final answer
    x = 10,177.14

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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.