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Finding the Fourth Proportional to 2,140.46, 3,210.54 and 580.40

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Solution

The fourth proportional to 2,140.46, 3,210.54 and 580.40 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.46 : 3,210.54 = 580.40 : x
  2. Step 2: Convert to fraction form
    2,140.46/3,210.54 = 580.40/x
  3. Step 3: Cross multiply
    2,140.46x = 3,210.54 × 580.40
  4. Step 4: Simplify right side
    2,140.46x = 1,863,397.42
  5. Step 5: Solve for x
    x = 1,863,397.42/2,140.46
  6. Step 6: Final answer
    x = 870.56

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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.