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Finding the Fourth Proportional to 9,678.59, 13,360.09 and 8,329.22

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Solution

The fourth proportional to 9,678.59, 13,360.09 and 8,329.22 is: 11,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.59 : 13,360.09 = 8,329.22 : x
  2. Step 2: Convert to fraction form
    9,678.59/13,360.09 = 8,329.22/x
  3. Step 3: Cross multiply
    9,678.59x = 13,360.09 × 8,329.22
  4. Step 4: Simplify right side
    9,678.59x = 111,279,199.03
  5. Step 5: Solve for x
    x = 111,279,199.03/9,678.59
  6. Step 6: Final answer
    x = 11,497.47

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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.