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Finding the Fourth Proportional to 7,711, 10,641.18 and 5,731

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Solution

The fourth proportional to 7,711, 10,641.18 and 5,731 is: 7,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711 : 10,641.18 = 5,731 : x
  2. Step 2: Convert to fraction form
    7,711/10,641.18 = 5,731/x
  3. Step 3: Cross multiply
    7,711x = 10,641.18 × 5,731
  4. Step 4: Simplify right side
    7,711x = 60,984,602.58
  5. Step 5: Solve for x
    x = 60,984,602.58/7,711
  6. Step 6: Final answer
    x = 7,908.78

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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.