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Finding the Fourth Proportional to 6,339.78, 9,506.07 and 5,306.22

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Solution

The fourth proportional to 6,339.78, 9,506.07 and 5,306.22 is: 7,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.78 : 9,506.07 = 5,306.22 : x
  2. Step 2: Convert to fraction form
    6,339.78/9,506.07 = 5,306.22/x
  3. Step 3: Cross multiply
    6,339.78x = 9,506.07 × 5,306.22
  4. Step 4: Simplify right side
    6,339.78x = 50,441,298.76
  5. Step 5: Solve for x
    x = 50,441,298.76/6,339.78
  6. Step 6: Final answer
    x = 7,956.32

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1.5x scale

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.