Home / 2,478.20-3,710-1,831.82

Finding the Fourth Proportional to 2,478.20, 3,710 and 1,831.82

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Solution

The fourth proportional to 2,478.20, 3,710 and 1,831.82 is: 2,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.20 : 3,710 = 1,831.82 : x
  2. Step 2: Convert to fraction form
    2,478.20/3,710 = 1,831.82/x
  3. Step 3: Cross multiply
    2,478.20x = 3,710 × 1,831.82
  4. Step 4: Simplify right side
    2,478.20x = 6,796,052.20
  5. Step 5: Solve for x
    x = 6,796,052.20/2,478.20
  6. Step 6: Final answer
    x = 2,742.33

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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.