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Finding the Fourth Proportional to 9,653.38, 13,329.41 and 7,758.89

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Solution

The fourth proportional to 9,653.38, 13,329.41 and 7,758.89 is: 10,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.38 : 13,329.41 = 7,758.89 : x
  2. Step 2: Convert to fraction form
    9,653.38/13,329.41 = 7,758.89/x
  3. Step 3: Cross multiply
    9,653.38x = 13,329.41 × 7,758.89
  4. Step 4: Simplify right side
    9,653.38x = 103,421,414.14
  5. Step 5: Solve for x
    x = 103,421,414.14/9,653.38
  6. Step 6: Final answer
    x = 10,713.50

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Half scale
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Double scale
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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.