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Finding the Fourth Proportional to 12,228.15, 16,878.86 and 7,192.11

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Solution

The fourth proportional to 12,228.15, 16,878.86 and 7,192.11 is: 9,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.15 : 16,878.86 = 7,192.11 : x
  2. Step 2: Convert to fraction form
    12,228.15/16,878.86 = 7,192.11/x
  3. Step 3: Cross multiply
    12,228.15x = 16,878.86 × 7,192.11
  4. Step 4: Simplify right side
    12,228.15x = 121,394,581.83
  5. Step 5: Solve for x
    x = 121,394,581.83/12,228.15
  6. Step 6: Final answer
    x = 9,927.47

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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.