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Finding the Fourth Proportional to 11,779.65, 16,253.96 and 7,806.15

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Solution

The fourth proportional to 11,779.65, 16,253.96 and 7,806.15 is: 10,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.65 : 16,253.96 = 7,806.15 : x
  2. Step 2: Convert to fraction form
    11,779.65/16,253.96 = 7,806.15/x
  3. Step 3: Cross multiply
    11,779.65x = 16,253.96 × 7,806.15
  4. Step 4: Simplify right side
    11,779.65x = 126,880,810.82
  5. Step 5: Solve for x
    x = 126,880,810.82/11,779.65
  6. Step 6: Final answer
    x = 10,771.19

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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.