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Finding the Fourth Proportional to 11,488.75, 15,854.08 and 7,019.98

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Solution

The fourth proportional to 11,488.75, 15,854.08 and 7,019.98 is: 9,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.75 : 15,854.08 = 7,019.98 : x
  2. Step 2: Convert to fraction form
    11,488.75/15,854.08 = 7,019.98/x
  3. Step 3: Cross multiply
    11,488.75x = 15,854.08 × 7,019.98
  4. Step 4: Simplify right side
    11,488.75x = 111,295,324.52
  5. Step 5: Solve for x
    x = 111,295,324.52/11,488.75
  6. Step 6: Final answer
    x = 9,687.33

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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.