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Finding the Fourth Proportional to 2,831.04, 4,241.01 and 1,854.18

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Solution

The fourth proportional to 2,831.04, 4,241.01 and 1,854.18 is: 2,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.04 : 4,241.01 = 1,854.18 : x
  2. Step 2: Convert to fraction form
    2,831.04/4,241.01 = 1,854.18/x
  3. Step 3: Cross multiply
    2,831.04x = 4,241.01 × 1,854.18
  4. Step 4: Simplify right side
    2,831.04x = 7,863,595.92
  5. Step 5: Solve for x
    x = 7,863,595.92/2,831.04
  6. Step 6: Final answer
    x = 2,777.64

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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.