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Finding the Fourth Proportional to 5,278.67, 7,916.66 and 1,990.79

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Solution

The fourth proportional to 5,278.67, 7,916.66 and 1,990.79 is: 2,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.67 : 7,916.66 = 1,990.79 : x
  2. Step 2: Convert to fraction form
    5,278.67/7,916.66 = 1,990.79/x
  3. Step 3: Cross multiply
    5,278.67x = 7,916.66 × 1,990.79
  4. Step 4: Simplify right side
    5,278.67x = 15,760,397.61
  5. Step 5: Solve for x
    x = 15,760,397.61/5,278.67
  6. Step 6: Final answer
    x = 2,985.68

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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.