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Finding the Fourth Proportional to 9,666, 13,339.49 and 5,632.74

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Solution

The fourth proportional to 9,666, 13,339.49 and 5,632.74 is: 7,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666 : 13,339.49 = 5,632.74 : x
  2. Step 2: Convert to fraction form
    9,666/13,339.49 = 5,632.74/x
  3. Step 3: Cross multiply
    9,666x = 13,339.49 × 5,632.74
  4. Step 4: Simplify right side
    9,666x = 75,137,850.74
  5. Step 5: Solve for x
    x = 75,137,850.74/9,666
  6. Step 6: Final answer
    x = 7,773.42

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1.5x scale

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.