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Finding the Fourth Proportional to 11,581.53, 15,988.02 and 7,759.75

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Solution

The fourth proportional to 11,581.53, 15,988.02 and 7,759.75 is: 10,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.53 : 15,988.02 = 7,759.75 : x
  2. Step 2: Convert to fraction form
    11,581.53/15,988.02 = 7,759.75/x
  3. Step 3: Cross multiply
    11,581.53x = 15,988.02 × 7,759.75
  4. Step 4: Simplify right side
    11,581.53x = 124,062,998.22
  5. Step 5: Solve for x
    x = 124,062,998.22/11,581.53
  6. Step 6: Final answer
    x = 10,712.14

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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.