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Finding the Fourth Proportional to 11,751.69, 16,218.05 and 7,765.89

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Solution

The fourth proportional to 11,751.69, 16,218.05 and 7,765.89 is: 10,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.69 : 16,218.05 = 7,765.89 : x
  2. Step 2: Convert to fraction form
    11,751.69/16,218.05 = 7,765.89/x
  3. Step 3: Cross multiply
    11,751.69x = 16,218.05 × 7,765.89
  4. Step 4: Simplify right side
    11,751.69x = 125,947,592.31
  5. Step 5: Solve for x
    x = 125,947,592.31/11,751.69
  6. Step 6: Final answer
    x = 10,717.40

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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.