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Finding the Fourth Proportional to 2,442.68, 3,664.02 and 981.49

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Solution

The fourth proportional to 2,442.68, 3,664.02 and 981.49 is: 1,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.68 : 3,664.02 = 981.49 : x
  2. Step 2: Convert to fraction form
    2,442.68/3,664.02 = 981.49/x
  3. Step 3: Cross multiply
    2,442.68x = 3,664.02 × 981.49
  4. Step 4: Simplify right side
    2,442.68x = 3,596,209.31
  5. Step 5: Solve for x
    x = 3,596,209.31/2,442.68
  6. Step 6: Final answer
    x = 1,472.24

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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.