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Finding the Fourth Proportional to 7,087.50, 9,780.75 and 3,943.69

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Solution

The fourth proportional to 7,087.50, 9,780.75 and 3,943.69 is: 5,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.50 : 9,780.75 = 3,943.69 : x
  2. Step 2: Convert to fraction form
    7,087.50/9,780.75 = 3,943.69/x
  3. Step 3: Cross multiply
    7,087.50x = 9,780.75 × 3,943.69
  4. Step 4: Simplify right side
    7,087.50x = 38,572,221.52
  5. Step 5: Solve for x
    x = 38,572,221.52/7,087.50
  6. Step 6: Final answer
    x = 5,442.29

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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.