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Finding the Fourth Proportional to 4,140, 5,713.20 and 2,277

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Solution

The fourth proportional to 4,140, 5,713.20 and 2,277 is: 3,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 5,713.20 = 2,277 : x
  2. Step 2: Convert to fraction form
    4,140/5,713.20 = 2,277/x
  3. Step 3: Cross multiply
    4,140x = 5,713.20 × 2,277
  4. Step 4: Simplify right side
    4,140x = 13,008,956.40
  5. Step 5: Solve for x
    x = 13,008,956.40/4,140
  6. Step 6: Final answer
    x = 3,142.26

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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.