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Finding the Fourth Proportional to 2,779.92, 4,169.89 and 1,024.17

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Solution

The fourth proportional to 2,779.92, 4,169.89 and 1,024.17 is: 1,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.92 : 4,169.89 = 1,024.17 : x
  2. Step 2: Convert to fraction form
    2,779.92/4,169.89 = 1,024.17/x
  3. Step 3: Cross multiply
    2,779.92x = 4,169.89 × 1,024.17
  4. Step 4: Simplify right side
    2,779.92x = 4,270,661.86
  5. Step 5: Solve for x
    x = 4,270,661.86/2,779.92
  6. Step 6: Final answer
    x = 1,536.25

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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.