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Finding the Fourth Proportional to 6,874.17, 9,486.25 and 3,890.59

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Solution

The fourth proportional to 6,874.17, 9,486.25 and 3,890.59 is: 5,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.17 : 9,486.25 = 3,890.59 : x
  2. Step 2: Convert to fraction form
    6,874.17/9,486.25 = 3,890.59/x
  3. Step 3: Cross multiply
    6,874.17x = 9,486.25 × 3,890.59
  4. Step 4: Simplify right side
    6,874.17x = 36,907,109.39
  5. Step 5: Solve for x
    x = 36,907,109.39/6,874.17
  6. Step 6: Final answer
    x = 5,368.95

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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.