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Finding the Fourth Proportional to 5,103, 7,042.68 and 3,240

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Solution

The fourth proportional to 5,103, 7,042.68 and 3,240 is: 4,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103 : 7,042.68 = 3,240 : x
  2. Step 2: Convert to fraction form
    5,103/7,042.68 = 3,240/x
  3. Step 3: Cross multiply
    5,103x = 7,042.68 × 3,240
  4. Step 4: Simplify right side
    5,103x = 22,818,283.20
  5. Step 5: Solve for x
    x = 22,818,283.20/5,103
  6. Step 6: Final answer
    x = 4,471.54

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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.