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Finding the Fourth Proportional to 12,257.54, 18,394.48 and 7,878.14

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Solution

The fourth proportional to 12,257.54, 18,394.48 and 7,878.14 is: 11,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.54 : 18,394.48 = 7,878.14 : x
  2. Step 2: Convert to fraction form
    12,257.54/18,394.48 = 7,878.14/x
  3. Step 3: Cross multiply
    12,257.54x = 18,394.48 × 7,878.14
  4. Step 4: Simplify right side
    12,257.54x = 144,914,288.67
  5. Step 5: Solve for x
    x = 144,914,288.67/12,257.54
  6. Step 6: Final answer
    x = 11,822.46

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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.