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Finding the Fourth Proportional to 2,543, 3,510.60 and 1,600.16

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Solution

The fourth proportional to 2,543, 3,510.60 and 1,600.16 is: 2,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543 : 3,510.60 = 1,600.16 : x
  2. Step 2: Convert to fraction form
    2,543/3,510.60 = 1,600.16/x
  3. Step 3: Cross multiply
    2,543x = 3,510.60 × 1,600.16
  4. Step 4: Simplify right side
    2,543x = 5,617,521.70
  5. Step 5: Solve for x
    x = 5,617,521.70/2,543
  6. Step 6: Final answer
    x = 2,209.01

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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.