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Finding the Fourth Proportional to 12,297.70, 18,444.15 and 4,089.70

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Solution

The fourth proportional to 12,297.70, 18,444.15 and 4,089.70 is: 6,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.70 : 18,444.15 = 4,089.70 : x
  2. Step 2: Convert to fraction form
    12,297.70/18,444.15 = 4,089.70/x
  3. Step 3: Cross multiply
    12,297.70x = 18,444.15 × 4,089.70
  4. Step 4: Simplify right side
    12,297.70x = 75,431,040.26
  5. Step 5: Solve for x
    x = 75,431,040.26/12,297.70
  6. Step 6: Final answer
    x = 6,133.75

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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.