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Finding the Fourth Proportional to 6,397.90, 9,551.16 and 5,413.48

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Solution

The fourth proportional to 6,397.90, 9,551.16 and 5,413.48 is: 8,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.90 : 9,551.16 = 5,413.48 : x
  2. Step 2: Convert to fraction form
    6,397.90/9,551.16 = 5,413.48/x
  3. Step 3: Cross multiply
    6,397.90x = 9,551.16 × 5,413.48
  4. Step 4: Simplify right side
    6,397.90x = 51,705,013.64
  5. Step 5: Solve for x
    x = 51,705,013.64/6,397.90
  6. Step 6: Final answer
    x = 8,081.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.