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Finding the Fourth Proportional to 2,568.70, 3,542.70 and 1,572.40

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Solution

The fourth proportional to 2,568.70, 3,542.70 and 1,572.40 is: 2,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.70 : 3,542.70 = 1,572.40 : x
  2. Step 2: Convert to fraction form
    2,568.70/3,542.70 = 1,572.40/x
  3. Step 3: Cross multiply
    2,568.70x = 3,542.70 × 1,572.40
  4. Step 4: Simplify right side
    2,568.70x = 5,570,541.48
  5. Step 5: Solve for x
    x = 5,570,541.48/2,568.70
  6. Step 6: Final answer
    x = 2,168.62

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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.