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Finding the Fourth Proportional to 11,415.52, 15,749 and 6,698.08

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Solution

The fourth proportional to 11,415.52, 15,749 and 6,698.08 is: 9,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.52 : 15,749 = 6,698.08 : x
  2. Step 2: Convert to fraction form
    11,415.52/15,749 = 6,698.08/x
  3. Step 3: Cross multiply
    11,415.52x = 15,749 × 6,698.08
  4. Step 4: Simplify right side
    11,415.52x = 105,488,061.92
  5. Step 5: Solve for x
    x = 105,488,061.92/11,415.52
  6. Step 6: Final answer
    x = 9,240.76

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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.