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Finding the Fourth Proportional to 12,232.16, 18,328.80 and 12,219.20

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Solution

The fourth proportional to 12,232.16, 18,328.80 and 12,219.20 is: 18,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.16 : 18,328.80 = 12,219.20 : x
  2. Step 2: Convert to fraction form
    12,232.16/18,328.80 = 12,219.20/x
  3. Step 3: Cross multiply
    12,232.16x = 18,328.80 × 12,219.20
  4. Step 4: Simplify right side
    12,232.16x = 223,963,272.96
  5. Step 5: Solve for x
    x = 223,963,272.96/12,232.16
  6. Step 6: Final answer
    x = 18,309.38

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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.