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Finding the Fourth Proportional to 2,545.65, 3,818.22 and 984.71

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Solution

The fourth proportional to 2,545.65, 3,818.22 and 984.71 is: 1,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.65 : 3,818.22 = 984.71 : x
  2. Step 2: Convert to fraction form
    2,545.65/3,818.22 = 984.71/x
  3. Step 3: Cross multiply
    2,545.65x = 3,818.22 × 984.71
  4. Step 4: Simplify right side
    2,545.65x = 3,759,839.42
  5. Step 5: Solve for x
    x = 3,759,839.42/2,545.65
  6. Step 6: Final answer
    x = 1,476.97

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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.