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Finding the Fourth Proportional to 2,443.26, 3,664.89 and 981.39

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Solution

The fourth proportional to 2,443.26, 3,664.89 and 981.39 is: 1,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.26 : 3,664.89 = 981.39 : x
  2. Step 2: Convert to fraction form
    2,443.26/3,664.89 = 981.39/x
  3. Step 3: Cross multiply
    2,443.26x = 3,664.89 × 981.39
  4. Step 4: Simplify right side
    2,443.26x = 3,596,686.40
  5. Step 5: Solve for x
    x = 3,596,686.40/2,443.26
  6. Step 6: Final answer
    x = 1,472.09

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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.