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Finding the Fourth Proportional to 15,195.98, 22,779.90 and 7,784.12

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Solution

The fourth proportional to 15,195.98, 22,779.90 and 7,784.12 is: 11,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,195.98 : 22,779.90 = 7,784.12 : x
  2. Step 2: Convert to fraction form
    15,195.98/22,779.90 = 7,784.12/x
  3. Step 3: Cross multiply
    15,195.98x = 22,779.90 × 7,784.12
  4. Step 4: Simplify right side
    15,195.98x = 177,321,475.19
  5. Step 5: Solve for x
    x = 177,321,475.19/15,195.98
  6. Step 6: Final answer
    x = 11,668.97

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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.