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Finding the Fourth Proportional to 1,272.42, 1,913.04 and 1,001.82

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Solution

The fourth proportional to 1,272.42, 1,913.04 and 1,001.82 is: 1,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.42 : 1,913.04 = 1,001.82 : x
  2. Step 2: Convert to fraction form
    1,272.42/1,913.04 = 1,001.82/x
  3. Step 3: Cross multiply
    1,272.42x = 1,913.04 × 1,001.82
  4. Step 4: Simplify right side
    1,272.42x = 1,916,521.73
  5. Step 5: Solve for x
    x = 1,916,521.73/1,272.42
  6. Step 6: Final answer
    x = 1,506.20

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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.