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Finding the Fourth Proportional to 11,511.75, 15,887.07 and 7,036.38

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Solution

The fourth proportional to 11,511.75, 15,887.07 and 7,036.38 is: 9,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.75 : 15,887.07 = 7,036.38 : x
  2. Step 2: Convert to fraction form
    11,511.75/15,887.07 = 7,036.38/x
  3. Step 3: Cross multiply
    11,511.75x = 15,887.07 × 7,036.38
  4. Step 4: Simplify right side
    11,511.75x = 111,787,461.61
  5. Step 5: Solve for x
    x = 111,787,461.61/11,511.75
  6. Step 6: Final answer
    x = 9,710.73

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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.