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Finding the Fourth Proportional to 7,319.13, 10,978.69 and 2,702.13

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Solution

The fourth proportional to 7,319.13, 10,978.69 and 2,702.13 is: 4,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.13 : 10,978.69 = 2,702.13 : x
  2. Step 2: Convert to fraction form
    7,319.13/10,978.69 = 2,702.13/x
  3. Step 3: Cross multiply
    7,319.13x = 10,978.69 × 2,702.13
  4. Step 4: Simplify right side
    7,319.13x = 29,665,792.72
  5. Step 5: Solve for x
    x = 29,665,792.72/7,319.13
  6. Step 6: Final answer
    x = 4,053.19

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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.