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Finding the Fourth Proportional to 7,543, 10,409.42 and 4,231

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Solution

The fourth proportional to 7,543, 10,409.42 and 4,231 is: 5,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543 : 10,409.42 = 4,231 : x
  2. Step 2: Convert to fraction form
    7,543/10,409.42 = 4,231/x
  3. Step 3: Cross multiply
    7,543x = 10,409.42 × 4,231
  4. Step 4: Simplify right side
    7,543x = 44,042,256.02
  5. Step 5: Solve for x
    x = 44,042,256.02/7,543
  6. Step 6: Final answer
    x = 5,838.82

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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.