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Finding the Fourth Proportional to 5,113.77, 7,669.03 and 2,191.29

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Solution

The fourth proportional to 5,113.77, 7,669.03 and 2,191.29 is: 3,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.77 : 7,669.03 = 2,191.29 : x
  2. Step 2: Convert to fraction form
    5,113.77/7,669.03 = 2,191.29/x
  3. Step 3: Cross multiply
    5,113.77x = 7,669.03 × 2,191.29
  4. Step 4: Simplify right side
    5,113.77x = 16,805,068.75
  5. Step 5: Solve for x
    x = 16,805,068.75/5,113.77
  6. Step 6: Final answer
    x = 3,286.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.