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Finding the Fourth Proportional to 5,712.50, 8,570.20 and 1,608.50

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Solution

The fourth proportional to 5,712.50, 8,570.20 and 1,608.50 is: 2,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.50 : 8,570.20 = 1,608.50 : x
  2. Step 2: Convert to fraction form
    5,712.50/8,570.20 = 1,608.50/x
  3. Step 3: Cross multiply
    5,712.50x = 8,570.20 × 1,608.50
  4. Step 4: Simplify right side
    5,712.50x = 13,785,166.70
  5. Step 5: Solve for x
    x = 13,785,166.70/5,712.50
  6. Step 6: Final answer
    x = 2,413.16

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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.