Home / 2,541.12-3,812.40-809.76

Finding the Fourth Proportional to 2,541.12, 3,812.40 and 809.76

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Solution

The fourth proportional to 2,541.12, 3,812.40 and 809.76 is: 1,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.12 : 3,812.40 = 809.76 : x
  2. Step 2: Convert to fraction form
    2,541.12/3,812.40 = 809.76/x
  3. Step 3: Cross multiply
    2,541.12x = 3,812.40 × 809.76
  4. Step 4: Simplify right side
    2,541.12x = 3,087,129.02
  5. Step 5: Solve for x
    x = 3,087,129.02/2,541.12
  6. Step 6: Final answer
    x = 1,214.87

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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.