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Finding the Fourth Proportional to 12,649.14, 18,951.84 and 9,838.85

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Solution

The fourth proportional to 12,649.14, 18,951.84 and 9,838.85 is: 14,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.14 : 18,951.84 = 9,838.85 : x
  2. Step 2: Convert to fraction form
    12,649.14/18,951.84 = 9,838.85/x
  3. Step 3: Cross multiply
    12,649.14x = 18,951.84 × 9,838.85
  4. Step 4: Simplify right side
    12,649.14x = 186,464,216.22
  5. Step 5: Solve for x
    x = 186,464,216.22/12,649.14
  6. Step 6: Final answer
    x = 14,741.26

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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.