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Finding the Fourth Proportional to 5,074, 7,612.12 and 2,154.80

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Solution

The fourth proportional to 5,074, 7,612.12 and 2,154.80 is: 3,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074 : 7,612.12 = 2,154.80 : x
  2. Step 2: Convert to fraction form
    5,074/7,612.12 = 2,154.80/x
  3. Step 3: Cross multiply
    5,074x = 7,612.12 × 2,154.80
  4. Step 4: Simplify right side
    5,074x = 16,402,596.18
  5. Step 5: Solve for x
    x = 16,402,596.18/5,074
  6. Step 6: Final answer
    x = 3,232.68

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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.