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Finding the Fourth Proportional to 7,238.97, 9,988.15 and 4,407.82

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Solution

The fourth proportional to 7,238.97, 9,988.15 and 4,407.82 is: 6,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.97 : 9,988.15 = 4,407.82 : x
  2. Step 2: Convert to fraction form
    7,238.97/9,988.15 = 4,407.82/x
  3. Step 3: Cross multiply
    7,238.97x = 9,988.15 × 4,407.82
  4. Step 4: Simplify right side
    7,238.97x = 44,025,967.33
  5. Step 5: Solve for x
    x = 44,025,967.33/7,238.97
  6. Step 6: Final answer
    x = 6,081.80

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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.