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Finding the Fourth Proportional to 4,143.66, 5,718.25 and 2,280.66

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Solution

The fourth proportional to 4,143.66, 5,718.25 and 2,280.66 is: 3,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.66 : 5,718.25 = 2,280.66 : x
  2. Step 2: Convert to fraction form
    4,143.66/5,718.25 = 2,280.66/x
  3. Step 3: Cross multiply
    4,143.66x = 5,718.25 × 2,280.66
  4. Step 4: Simplify right side
    4,143.66x = 13,041,352.62
  5. Step 5: Solve for x
    x = 13,041,352.62/4,143.66
  6. Step 6: Final answer
    x = 3,147.31

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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.