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Finding the Fourth Proportional to 5,775, 8,666.34 and 2,127

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Solution

The fourth proportional to 5,775, 8,666.34 and 2,127 is: 3,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775 : 8,666.34 = 2,127 : x
  2. Step 2: Convert to fraction form
    5,775/8,666.34 = 2,127/x
  3. Step 3: Cross multiply
    5,775x = 8,666.34 × 2,127
  4. Step 4: Simplify right side
    5,775x = 18,433,305.18
  5. Step 5: Solve for x
    x = 18,433,305.18/5,775
  6. Step 6: Final answer
    x = 3,191.91

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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.