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Finding the Fourth Proportional to 6,174, 9,261 and 2,478.78

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Solution

The fourth proportional to 6,174, 9,261 and 2,478.78 is: 3,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 9,261 = 2,478.78 : x
  2. Step 2: Convert to fraction form
    6,174/9,261 = 2,478.78/x
  3. Step 3: Cross multiply
    6,174x = 9,261 × 2,478.78
  4. Step 4: Simplify right side
    6,174x = 22,955,981.58
  5. Step 5: Solve for x
    x = 22,955,981.58/6,174
  6. Step 6: Final answer
    x = 3,718.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.