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Finding the Fourth Proportional to 1,722.84, 2,593.62 and 1,569.78

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Solution

The fourth proportional to 1,722.84, 2,593.62 and 1,569.78 is: 2,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.84 : 2,593.62 = 1,569.78 : x
  2. Step 2: Convert to fraction form
    1,722.84/2,593.62 = 1,569.78/x
  3. Step 3: Cross multiply
    1,722.84x = 2,593.62 × 1,569.78
  4. Step 4: Simplify right side
    1,722.84x = 4,071,412.80
  5. Step 5: Solve for x
    x = 4,071,412.80/1,722.84
  6. Step 6: Final answer
    x = 2,363.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.