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Finding the Fourth Proportional to 2,569.84, 3,546.48 and 1,574.80

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Solution

The fourth proportional to 2,569.84, 3,546.48 and 1,574.80 is: 2,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.84 : 3,546.48 = 1,574.80 : x
  2. Step 2: Convert to fraction form
    2,569.84/3,546.48 = 1,574.80/x
  3. Step 3: Cross multiply
    2,569.84x = 3,546.48 × 1,574.80
  4. Step 4: Simplify right side
    2,569.84x = 5,584,996.70
  5. Step 5: Solve for x
    x = 5,584,996.70/2,569.84
  6. Step 6: Final answer
    x = 2,173.29

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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.