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Finding the Fourth Proportional to 9,306.59, 12,845.30 and 5,329.98

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Solution

The fourth proportional to 9,306.59, 12,845.30 and 5,329.98 is: 7,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.59 : 12,845.30 = 5,329.98 : x
  2. Step 2: Convert to fraction form
    9,306.59/12,845.30 = 5,329.98/x
  3. Step 3: Cross multiply
    9,306.59x = 12,845.30 × 5,329.98
  4. Step 4: Simplify right side
    9,306.59x = 68,465,165.44
  5. Step 5: Solve for x
    x = 68,465,165.44/9,306.59
  6. Step 6: Final answer
    x = 7,356.64

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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.