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Finding the Fourth Proportional to 2,275.40, 3,413.10 and 1,180.10

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Solution

The fourth proportional to 2,275.40, 3,413.10 and 1,180.10 is: 1,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.40 : 3,413.10 = 1,180.10 : x
  2. Step 2: Convert to fraction form
    2,275.40/3,413.10 = 1,180.10/x
  3. Step 3: Cross multiply
    2,275.40x = 3,413.10 × 1,180.10
  4. Step 4: Simplify right side
    2,275.40x = 4,027,799.31
  5. Step 5: Solve for x
    x = 4,027,799.31/2,275.40
  6. Step 6: Final answer
    x = 1,770.15

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Double scale
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Similar ratio
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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.