Home / 2,140.16-3,209.98-580.06

Finding the Fourth Proportional to 2,140.16, 3,209.98 and 580.06

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Solution

The fourth proportional to 2,140.16, 3,209.98 and 580.06 is: 870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.16 : 3,209.98 = 580.06 : x
  2. Step 2: Convert to fraction form
    2,140.16/3,209.98 = 580.06/x
  3. Step 3: Cross multiply
    2,140.16x = 3,209.98 × 580.06
  4. Step 4: Simplify right side
    2,140.16x = 1,861,979.55
  5. Step 5: Solve for x
    x = 1,861,979.55/2,140.16
  6. Step 6: Final answer
    x = 870.02

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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.