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Finding the Fourth Proportional to 9,988.57, 13,789.41 and 7,296.77

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Solution

The fourth proportional to 9,988.57, 13,789.41 and 7,296.77 is: 10,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.57 : 13,789.41 = 7,296.77 : x
  2. Step 2: Convert to fraction form
    9,988.57/13,789.41 = 7,296.77/x
  3. Step 3: Cross multiply
    9,988.57x = 13,789.41 × 7,296.77
  4. Step 4: Simplify right side
    9,988.57x = 100,618,067.16
  5. Step 5: Solve for x
    x = 100,618,067.16/9,988.57
  6. Step 6: Final answer
    x = 10,073.32

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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.