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Finding the Fourth Proportional to 5,689.13, 7,847.13 and 3,696.12

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Solution

The fourth proportional to 5,689.13, 7,847.13 and 3,696.12 is: 5,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.13 : 7,847.13 = 3,696.12 : x
  2. Step 2: Convert to fraction form
    5,689.13/7,847.13 = 3,696.12/x
  3. Step 3: Cross multiply
    5,689.13x = 7,847.13 × 3,696.12
  4. Step 4: Simplify right side
    5,689.13x = 29,003,948.00
  5. Step 5: Solve for x
    x = 29,003,948.00/5,689.13
  6. Step 6: Final answer
    x = 5,098.14

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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.