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Finding the Fourth Proportional to 11,339.54, 16,986.85 and 7,772.88

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Solution

The fourth proportional to 11,339.54, 16,986.85 and 7,772.88 is: 11,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.54 : 16,986.85 = 7,772.88 : x
  2. Step 2: Convert to fraction form
    11,339.54/16,986.85 = 7,772.88/x
  3. Step 3: Cross multiply
    11,339.54x = 16,986.85 × 7,772.88
  4. Step 4: Simplify right side
    11,339.54x = 132,036,695.35
  5. Step 5: Solve for x
    x = 132,036,695.35/11,339.54
  6. Step 6: Final answer
    x = 11,643.92

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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.