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Finding the Fourth Proportional to 11,415.99, 15,749.73 and 8,438.97

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Solution

The fourth proportional to 11,415.99, 15,749.73 and 8,438.97 is: 11,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.99 : 15,749.73 = 8,438.97 : x
  2. Step 2: Convert to fraction form
    11,415.99/15,749.73 = 8,438.97/x
  3. Step 3: Cross multiply
    11,415.99x = 15,749.73 × 8,438.97
  4. Step 4: Simplify right side
    11,415.99x = 132,911,498.98
  5. Step 5: Solve for x
    x = 132,911,498.98/11,415.99
  6. Step 6: Final answer
    x = 11,642.57

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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.