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Finding the Fourth Proportional to 5,677.72, 7,833.03 and 4,189.21

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Solution

The fourth proportional to 5,677.72, 7,833.03 and 4,189.21 is: 5,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.72 : 7,833.03 = 4,189.21 : x
  2. Step 2: Convert to fraction form
    5,677.72/7,833.03 = 4,189.21/x
  3. Step 3: Cross multiply
    5,677.72x = 7,833.03 × 4,189.21
  4. Step 4: Simplify right side
    5,677.72x = 32,814,207.61
  5. Step 5: Solve for x
    x = 32,814,207.61/5,677.72
  6. Step 6: Final answer
    x = 5,779.47

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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.