Home / 2,585.46-3,871.99-1,413.70

Finding the Fourth Proportional to 2,585.46, 3,871.99 and 1,413.70

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Solution

The fourth proportional to 2,585.46, 3,871.99 and 1,413.70 is: 2,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.46 : 3,871.99 = 1,413.70 : x
  2. Step 2: Convert to fraction form
    2,585.46/3,871.99 = 1,413.70/x
  3. Step 3: Cross multiply
    2,585.46x = 3,871.99 × 1,413.70
  4. Step 4: Simplify right side
    2,585.46x = 5,473,832.26
  5. Step 5: Solve for x
    x = 5,473,832.26/2,585.46
  6. Step 6: Final answer
    x = 2,117.16

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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.