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Finding the Fourth Proportional to 5,779.80, 7,976 and 3,261.92

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Solution

The fourth proportional to 5,779.80, 7,976 and 3,261.92 is: 4,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.80 : 7,976 = 3,261.92 : x
  2. Step 2: Convert to fraction form
    5,779.80/7,976 = 3,261.92/x
  3. Step 3: Cross multiply
    5,779.80x = 7,976 × 3,261.92
  4. Step 4: Simplify right side
    5,779.80x = 26,017,073.92
  5. Step 5: Solve for x
    x = 26,017,073.92/5,779.80
  6. Step 6: Final answer
    x = 4,501.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.