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Finding the Fourth Proportional to 1,333.32, 1,841.76 and 1,072.32

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Solution

The fourth proportional to 1,333.32, 1,841.76 and 1,072.32 is: 1,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.32 : 1,841.76 = 1,072.32 : x
  2. Step 2: Convert to fraction form
    1,333.32/1,841.76 = 1,072.32/x
  3. Step 3: Cross multiply
    1,333.32x = 1,841.76 × 1,072.32
  4. Step 4: Simplify right side
    1,333.32x = 1,974,956.08
  5. Step 5: Solve for x
    x = 1,974,956.08/1,333.32
  6. Step 6: Final answer
    x = 1,481.23

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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.