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Finding the Fourth Proportional to 5,612.77, 8,413.65 and 4,781.71

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Solution

The fourth proportional to 5,612.77, 8,413.65 and 4,781.71 is: 7,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.77 : 8,413.65 = 4,781.71 : x
  2. Step 2: Convert to fraction form
    5,612.77/8,413.65 = 4,781.71/x
  3. Step 3: Cross multiply
    5,612.77x = 8,413.65 × 4,781.71
  4. Step 4: Simplify right side
    5,612.77x = 40,231,568.36
  5. Step 5: Solve for x
    x = 40,231,568.36/5,612.77
  6. Step 6: Final answer
    x = 7,167.87

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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.