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Finding the Fourth Proportional to 5,145.91, 7,727.97 and 4,734.16

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Solution

The fourth proportional to 5,145.91, 7,727.97 and 4,734.16 is: 7,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.91 : 7,727.97 = 4,734.16 : x
  2. Step 2: Convert to fraction form
    5,145.91/7,727.97 = 4,734.16/x
  3. Step 3: Cross multiply
    5,145.91x = 7,727.97 × 4,734.16
  4. Step 4: Simplify right side
    5,145.91x = 36,585,446.46
  5. Step 5: Solve for x
    x = 36,585,446.46/5,145.91
  6. Step 6: Final answer
    x = 7,109.62

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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.