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Finding the Fourth Proportional to 5,371.76, 7,413.02 and 3,013.90

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Solution

The fourth proportional to 5,371.76, 7,413.02 and 3,013.90 is: 4,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.76 : 7,413.02 = 3,013.90 : x
  2. Step 2: Convert to fraction form
    5,371.76/7,413.02 = 3,013.90/x
  3. Step 3: Cross multiply
    5,371.76x = 7,413.02 × 3,013.90
  4. Step 4: Simplify right side
    5,371.76x = 22,342,115.16
  5. Step 5: Solve for x
    x = 22,342,115.16/5,371.76
  6. Step 6: Final answer
    x = 4,159.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.