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Finding the Fourth Proportional to 11,122.68, 15,322.92 and 7,759.38

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Solution

The fourth proportional to 11,122.68, 15,322.92 and 7,759.38 is: 10,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.68 : 15,322.92 = 7,759.38 : x
  2. Step 2: Convert to fraction form
    11,122.68/15,322.92 = 7,759.38/x
  3. Step 3: Cross multiply
    11,122.68x = 15,322.92 × 7,759.38
  4. Step 4: Simplify right side
    11,122.68x = 118,896,358.99
  5. Step 5: Solve for x
    x = 118,896,358.99/11,122.68
  6. Step 6: Final answer
    x = 10,689.54

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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.