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Finding the Fourth Proportional to 12,238, 16,888.82 and 6,649.36

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Solution

The fourth proportional to 12,238, 16,888.82 and 6,649.36 is: 9,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238 : 16,888.82 = 6,649.36 : x
  2. Step 2: Convert to fraction form
    12,238/16,888.82 = 6,649.36/x
  3. Step 3: Cross multiply
    12,238x = 16,888.82 × 6,649.36
  4. Step 4: Simplify right side
    12,238x = 112,299,844.16
  5. Step 5: Solve for x
    x = 112,299,844.16/12,238
  6. Step 6: Final answer
    x = 9,176.32

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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.