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Finding the Fourth Proportional to 8,287.79, 12,413.43 and 6,424.25

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Solution

The fourth proportional to 8,287.79, 12,413.43 and 6,424.25 is: 9,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.79 : 12,413.43 = 6,424.25 : x
  2. Step 2: Convert to fraction form
    8,287.79/12,413.43 = 6,424.25/x
  3. Step 3: Cross multiply
    8,287.79x = 12,413.43 × 6,424.25
  4. Step 4: Simplify right side
    8,287.79x = 79,746,915.61
  5. Step 5: Solve for x
    x = 79,746,915.61/8,287.79
  6. Step 6: Final answer
    x = 9,622.22

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1.5x scale

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.