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Finding the Fourth Proportional to 3,278.96, 4,916.66 and 1,715.20

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Solution

The fourth proportional to 3,278.96, 4,916.66 and 1,715.20 is: 2,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.96 : 4,916.66 = 1,715.20 : x
  2. Step 2: Convert to fraction form
    3,278.96/4,916.66 = 1,715.20/x
  3. Step 3: Cross multiply
    3,278.96x = 4,916.66 × 1,715.20
  4. Step 4: Simplify right side
    3,278.96x = 8,433,047.23
  5. Step 5: Solve for x
    x = 8,433,047.23/3,278.96
  6. Step 6: Final answer
    x = 2,571.87

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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.