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Finding the Fourth Proportional to 15,777.74, 23,647.14 and 8,751.80

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Solution

The fourth proportional to 15,777.74, 23,647.14 and 8,751.80 is: 13,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.74 : 23,647.14 = 8,751.80 : x
  2. Step 2: Convert to fraction form
    15,777.74/23,647.14 = 8,751.80/x
  3. Step 3: Cross multiply
    15,777.74x = 23,647.14 × 8,751.80
  4. Step 4: Simplify right side
    15,777.74x = 206,955,039.85
  5. Step 5: Solve for x
    x = 206,955,039.85/15,777.74
  6. Step 6: Final answer
    x = 13,116.90

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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.