Home / 2,140.11-3,210.30-580.14

Finding the Fourth Proportional to 2,140.11, 3,210.30 and 580.14

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Solution

The fourth proportional to 2,140.11, 3,210.30 and 580.14 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.11 : 3,210.30 = 580.14 : x
  2. Step 2: Convert to fraction form
    2,140.11/3,210.30 = 580.14/x
  3. Step 3: Cross multiply
    2,140.11x = 3,210.30 × 580.14
  4. Step 4: Simplify right side
    2,140.11x = 1,862,423.44
  5. Step 5: Solve for x
    x = 1,862,423.44/2,140.11
  6. Step 6: Final answer
    x = 870.25

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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.