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Finding the Fourth Proportional to 1,351.88, 1,864.64 and 1,306.72

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Solution

The fourth proportional to 1,351.88, 1,864.64 and 1,306.72 is: 1,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.88 : 1,864.64 = 1,306.72 : x
  2. Step 2: Convert to fraction form
    1,351.88/1,864.64 = 1,306.72/x
  3. Step 3: Cross multiply
    1,351.88x = 1,864.64 × 1,306.72
  4. Step 4: Simplify right side
    1,351.88x = 2,436,562.38
  5. Step 5: Solve for x
    x = 2,436,562.38/1,351.88
  6. Step 6: Final answer
    x = 1,802.35

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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.