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Finding the Fourth Proportional to 4,143, 5,717.34 and 2,280

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Solution

The fourth proportional to 4,143, 5,717.34 and 2,280 is: 3,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143 : 5,717.34 = 2,280 : x
  2. Step 2: Convert to fraction form
    4,143/5,717.34 = 2,280/x
  3. Step 3: Cross multiply
    4,143x = 5,717.34 × 2,280
  4. Step 4: Simplify right side
    4,143x = 13,035,535.20
  5. Step 5: Solve for x
    x = 13,035,535.20/4,143
  6. Step 6: Final answer
    x = 3,146.40

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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.