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Finding the Fourth Proportional to 7,604.78, 11,421.87 and 6,306.62

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Solution

The fourth proportional to 7,604.78, 11,421.87 and 6,306.62 is: 9,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.78 : 11,421.87 = 6,306.62 : x
  2. Step 2: Convert to fraction form
    7,604.78/11,421.87 = 6,306.62/x
  3. Step 3: Cross multiply
    7,604.78x = 11,421.87 × 6,306.62
  4. Step 4: Simplify right side
    7,604.78x = 72,033,393.78
  5. Step 5: Solve for x
    x = 72,033,393.78/7,604.78
  6. Step 6: Final answer
    x = 9,472.12

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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.