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Finding the Fourth Proportional to 2,570.64, 3,549.24 and 1,640.40

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Solution

The fourth proportional to 2,570.64, 3,549.24 and 1,640.40 is: 2,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.64 : 3,549.24 = 1,640.40 : x
  2. Step 2: Convert to fraction form
    2,570.64/3,549.24 = 1,640.40/x
  3. Step 3: Cross multiply
    2,570.64x = 3,549.24 × 1,640.40
  4. Step 4: Simplify right side
    2,570.64x = 5,822,173.30
  5. Step 5: Solve for x
    x = 5,822,173.30/2,570.64
  6. Step 6: Final answer
    x = 2,264.87

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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.