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Finding the Fourth Proportional to 1,641.47, 2,462.89 and 984.61

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Solution

The fourth proportional to 1,641.47, 2,462.89 and 984.61 is: 1,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.47 : 2,462.89 = 984.61 : x
  2. Step 2: Convert to fraction form
    1,641.47/2,462.89 = 984.61/x
  3. Step 3: Cross multiply
    1,641.47x = 2,462.89 × 984.61
  4. Step 4: Simplify right side
    1,641.47x = 2,424,986.12
  5. Step 5: Solve for x
    x = 2,424,986.12/1,641.47
  6. Step 6: Final answer
    x = 1,477.33

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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.