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Finding the Fourth Proportional to 9,306.40, 12,842 and 5,327.20

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Solution

The fourth proportional to 9,306.40, 12,842 and 5,327.20 is: 7,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.40 : 12,842 = 5,327.20 : x
  2. Step 2: Convert to fraction form
    9,306.40/12,842 = 5,327.20/x
  3. Step 3: Cross multiply
    9,306.40x = 12,842 × 5,327.20
  4. Step 4: Simplify right side
    9,306.40x = 68,411,902.40
  5. Step 5: Solve for x
    x = 68,411,902.40/9,306.40
  6. Step 6: Final answer
    x = 7,351.06

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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.