Home / 2,582.46-3,875.04-1,122.64

Finding the Fourth Proportional to 2,582.46, 3,875.04 and 1,122.64

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Solution

The fourth proportional to 2,582.46, 3,875.04 and 1,122.64 is: 1,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.46 : 3,875.04 = 1,122.64 : x
  2. Step 2: Convert to fraction form
    2,582.46/3,875.04 = 1,122.64/x
  3. Step 3: Cross multiply
    2,582.46x = 3,875.04 × 1,122.64
  4. Step 4: Simplify right side
    2,582.46x = 4,350,274.91
  5. Step 5: Solve for x
    x = 4,350,274.91/2,582.46
  6. Step 6: Final answer
    x = 1,684.55

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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.