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Finding the Fourth Proportional to 12,249, 18,373.50 and 6,777

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Solution

The fourth proportional to 12,249, 18,373.50 and 6,777 is: 10,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249 : 18,373.50 = 6,777 : x
  2. Step 2: Convert to fraction form
    12,249/18,373.50 = 6,777/x
  3. Step 3: Cross multiply
    12,249x = 18,373.50 × 6,777
  4. Step 4: Simplify right side
    12,249x = 124,517,209.50
  5. Step 5: Solve for x
    x = 124,517,209.50/12,249
  6. Step 6: Final answer
    x = 10,165.50

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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.