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Finding the Fourth Proportional to 12,157.16, 18,224.79 and 4,364.15

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Solution

The fourth proportional to 12,157.16, 18,224.79 and 4,364.15 is: 6,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.16 : 18,224.79 = 4,364.15 : x
  2. Step 2: Convert to fraction form
    12,157.16/18,224.79 = 4,364.15/x
  3. Step 3: Cross multiply
    12,157.16x = 18,224.79 × 4,364.15
  4. Step 4: Simplify right side
    12,157.16x = 79,535,626.15
  5. Step 5: Solve for x
    x = 79,535,626.15/12,157.16
  6. Step 6: Final answer
    x = 6,542.29

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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.