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Finding the Fourth Proportional to 3,114.79, 4,672.19 and 2,564.77

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Solution

The fourth proportional to 3,114.79, 4,672.19 and 2,564.77 is: 3,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.79 : 4,672.19 = 2,564.77 : x
  2. Step 2: Convert to fraction form
    3,114.79/4,672.19 = 2,564.77/x
  3. Step 3: Cross multiply
    3,114.79x = 4,672.19 × 2,564.77
  4. Step 4: Simplify right side
    3,114.79x = 11,983,092.75
  5. Step 5: Solve for x
    x = 11,983,092.75/3,114.79
  6. Step 6: Final answer
    x = 3,847.16

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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.