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Finding the Fourth Proportional to 12,427.70, 18,641.02 and 8,469.06

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Solution

The fourth proportional to 12,427.70, 18,641.02 and 8,469.06 is: 12,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.70 : 18,641.02 = 8,469.06 : x
  2. Step 2: Convert to fraction form
    12,427.70/18,641.02 = 8,469.06/x
  3. Step 3: Cross multiply
    12,427.70x = 18,641.02 × 8,469.06
  4. Step 4: Simplify right side
    12,427.70x = 157,871,956.01
  5. Step 5: Solve for x
    x = 157,871,956.01/12,427.70
  6. Step 6: Final answer
    x = 12,703.24

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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.