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Finding the Fourth Proportional to 15,193.98, 22,776.90 and 7,782.12

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Solution

The fourth proportional to 15,193.98, 22,776.90 and 7,782.12 is: 11,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.98 : 22,776.90 = 7,782.12 : x
  2. Step 2: Convert to fraction form
    15,193.98/22,776.90 = 7,782.12/x
  3. Step 3: Cross multiply
    15,193.98x = 22,776.90 × 7,782.12
  4. Step 4: Simplify right side
    15,193.98x = 177,252,569.03
  5. Step 5: Solve for x
    x = 177,252,569.03/15,193.98
  6. Step 6: Final answer
    x = 11,665.97

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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.