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Finding the Fourth Proportional to 12,809.19, 17,678.13 and 7,774.65

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Solution

The fourth proportional to 12,809.19, 17,678.13 and 7,774.65 is: 10,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.19 : 17,678.13 = 7,774.65 : x
  2. Step 2: Convert to fraction form
    12,809.19/17,678.13 = 7,774.65/x
  3. Step 3: Cross multiply
    12,809.19x = 17,678.13 × 7,774.65
  4. Step 4: Simplify right side
    12,809.19x = 137,441,273.40
  5. Step 5: Solve for x
    x = 137,441,273.40/12,809.19
  6. Step 6: Final answer
    x = 10,729.90

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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.