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Finding the Fourth Proportional to 3,399, 4,692.54 and 2,569.56

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Solution

The fourth proportional to 3,399, 4,692.54 and 2,569.56 is: 3,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399 : 4,692.54 = 2,569.56 : x
  2. Step 2: Convert to fraction form
    3,399/4,692.54 = 2,569.56/x
  3. Step 3: Cross multiply
    3,399x = 4,692.54 × 2,569.56
  4. Step 4: Simplify right side
    3,399x = 12,057,763.08
  5. Step 5: Solve for x
    x = 12,057,763.08/3,399
  6. Step 6: Final answer
    x = 3,547.44

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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.