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Finding the Fourth Proportional to 2,779.32, 4,168.71 and 831.54

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Solution

The fourth proportional to 2,779.32, 4,168.71 and 831.54 is: 1,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.32 : 4,168.71 = 831.54 : x
  2. Step 2: Convert to fraction form
    2,779.32/4,168.71 = 831.54/x
  3. Step 3: Cross multiply
    2,779.32x = 4,168.71 × 831.54
  4. Step 4: Simplify right side
    2,779.32x = 3,466,449.11
  5. Step 5: Solve for x
    x = 3,466,449.11/2,779.32
  6. Step 6: Final answer
    x = 1,247.23

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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.