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Finding the Fourth Proportional to 4,547.40, 6,821.10 and 3,769.80

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Solution

The fourth proportional to 4,547.40, 6,821.10 and 3,769.80 is: 5,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.40 : 6,821.10 = 3,769.80 : x
  2. Step 2: Convert to fraction form
    4,547.40/6,821.10 = 3,769.80/x
  3. Step 3: Cross multiply
    4,547.40x = 6,821.10 × 3,769.80
  4. Step 4: Simplify right side
    4,547.40x = 25,714,182.78
  5. Step 5: Solve for x
    x = 25,714,182.78/4,547.40
  6. Step 6: Final answer
    x = 5,654.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.