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Finding the Fourth Proportional to 1,750, 2,413.34 and 1,255.08

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Solution

The fourth proportional to 1,750, 2,413.34 and 1,255.08 is: 1,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750 : 2,413.34 = 1,255.08 : x
  2. Step 2: Convert to fraction form
    1,750/2,413.34 = 1,255.08/x
  3. Step 3: Cross multiply
    1,750x = 2,413.34 × 1,255.08
  4. Step 4: Simplify right side
    1,750x = 3,028,934.77
  5. Step 5: Solve for x
    x = 3,028,934.77/1,750
  6. Step 6: Final answer
    x = 1,730.82

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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.