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Finding the Fourth Proportional to 2,310.57, 3,187.62 and 1,413.63

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Solution

The fourth proportional to 2,310.57, 3,187.62 and 1,413.63 is: 1,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.57 : 3,187.62 = 1,413.63 : x
  2. Step 2: Convert to fraction form
    2,310.57/3,187.62 = 1,413.63/x
  3. Step 3: Cross multiply
    2,310.57x = 3,187.62 × 1,413.63
  4. Step 4: Simplify right side
    2,310.57x = 4,506,115.26
  5. Step 5: Solve for x
    x = 4,506,115.26/2,310.57
  6. Step 6: Final answer
    x = 1,950.22

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1.5x scale

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.