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Finding the Fourth Proportional to 5,779.13, 7,978.43 and 4,432.19

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Solution

The fourth proportional to 5,779.13, 7,978.43 and 4,432.19 is: 6,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.13 : 7,978.43 = 4,432.19 : x
  2. Step 2: Convert to fraction form
    5,779.13/7,978.43 = 4,432.19/x
  3. Step 3: Cross multiply
    5,779.13x = 7,978.43 × 4,432.19
  4. Step 4: Simplify right side
    5,779.13x = 35,361,888.85
  5. Step 5: Solve for x
    x = 35,361,888.85/5,779.13
  6. Step 6: Final answer
    x = 6,118.90

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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.