Home / 2,574.19-3,861.32-842.81

Finding the Fourth Proportional to 2,574.19, 3,861.32 and 842.81

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Solution

The fourth proportional to 2,574.19, 3,861.32 and 842.81 is: 1,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.19 : 3,861.32 = 842.81 : x
  2. Step 2: Convert to fraction form
    2,574.19/3,861.32 = 842.81/x
  3. Step 3: Cross multiply
    2,574.19x = 3,861.32 × 842.81
  4. Step 4: Simplify right side
    2,574.19x = 3,254,364.55
  5. Step 5: Solve for x
    x = 3,254,364.55/2,574.19
  6. Step 6: Final answer
    x = 1,264.23

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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.