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Finding the Fourth Proportional to 2,436, 3,361.76 and 1,332

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Solution

The fourth proportional to 2,436, 3,361.76 and 1,332 is: 1,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,361.76 = 1,332 : x
  2. Step 2: Convert to fraction form
    2,436/3,361.76 = 1,332/x
  3. Step 3: Cross multiply
    2,436x = 3,361.76 × 1,332
  4. Step 4: Simplify right side
    2,436x = 4,477,864.32
  5. Step 5: Solve for x
    x = 4,477,864.32/2,436
  6. Step 6: Final answer
    x = 1,838.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.