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Finding the Fourth Proportional to 3,378.65, 5,064.32 and 3,014.15

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Solution

The fourth proportional to 3,378.65, 5,064.32 and 3,014.15 is: 4,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.65 : 5,064.32 = 3,014.15 : x
  2. Step 2: Convert to fraction form
    3,378.65/5,064.32 = 3,014.15/x
  3. Step 3: Cross multiply
    3,378.65x = 5,064.32 × 3,014.15
  4. Step 4: Simplify right side
    3,378.65x = 15,264,602.34
  5. Step 5: Solve for x
    x = 15,264,602.34/3,378.65
  6. Step 6: Final answer
    x = 4,517.97

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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.