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Finding the Fourth Proportional to 2,778.84, 4,164.62 and 1,545.62

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Solution

The fourth proportional to 2,778.84, 4,164.62 and 1,545.62 is: 2,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.84 : 4,164.62 = 1,545.62 : x
  2. Step 2: Convert to fraction form
    2,778.84/4,164.62 = 1,545.62/x
  3. Step 3: Cross multiply
    2,778.84x = 4,164.62 × 1,545.62
  4. Step 4: Simplify right side
    2,778.84x = 6,436,891.41
  5. Step 5: Solve for x
    x = 6,436,891.41/2,778.84
  6. Step 6: Final answer
    x = 2,316.40

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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.