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Finding the Fourth Proportional to 11,765.67, 17,673.12 and 9,920.40

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Solution

The fourth proportional to 11,765.67, 17,673.12 and 9,920.40 is: 14,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.67 : 17,673.12 = 9,920.40 : x
  2. Step 2: Convert to fraction form
    11,765.67/17,673.12 = 9,920.40/x
  3. Step 3: Cross multiply
    11,765.67x = 17,673.12 × 9,920.40
  4. Step 4: Simplify right side
    11,765.67x = 175,324,419.65
  5. Step 5: Solve for x
    x = 175,324,419.65/11,765.67
  6. Step 6: Final answer
    x = 14,901.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.