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Finding the Fourth Proportional to 3,752.81, 5,178.87 and 2,074.20

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Solution

The fourth proportional to 3,752.81, 5,178.87 and 2,074.20 is: 2,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.81 : 5,178.87 = 2,074.20 : x
  2. Step 2: Convert to fraction form
    3,752.81/5,178.87 = 2,074.20/x
  3. Step 3: Cross multiply
    3,752.81x = 5,178.87 × 2,074.20
  4. Step 4: Simplify right side
    3,752.81x = 10,742,000.02
  5. Step 5: Solve for x
    x = 10,742,000.02/3,752.81
  6. Step 6: Final answer
    x = 2,862.39

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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.