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Finding the Fourth Proportional to 5,006.84, 6,909.72 and 2,769.20

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Solution

The fourth proportional to 5,006.84, 6,909.72 and 2,769.20 is: 3,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.84 : 6,909.72 = 2,769.20 : x
  2. Step 2: Convert to fraction form
    5,006.84/6,909.72 = 2,769.20/x
  3. Step 3: Cross multiply
    5,006.84x = 6,909.72 × 2,769.20
  4. Step 4: Simplify right side
    5,006.84x = 19,134,396.62
  5. Step 5: Solve for x
    x = 19,134,396.62/5,006.84
  6. Step 6: Final answer
    x = 3,821.65

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1.5x scale

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.