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Finding the Fourth Proportional to 7,085.97, 9,780.93 and 6,338.61

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Solution

The fourth proportional to 7,085.97, 9,780.93 and 6,338.61 is: 8,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.97 : 9,780.93 = 6,338.61 : x
  2. Step 2: Convert to fraction form
    7,085.97/9,780.93 = 6,338.61/x
  3. Step 3: Cross multiply
    7,085.97x = 9,780.93 × 6,338.61
  4. Step 4: Simplify right side
    7,085.97x = 61,997,500.71
  5. Step 5: Solve for x
    x = 61,997,500.71/7,085.97
  6. Step 6: Final answer
    x = 8,749.33

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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.