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Finding the Fourth Proportional to 12,216, 18,292.99 and 10,236.42

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Solution

The fourth proportional to 12,216, 18,292.99 and 10,236.42 is: 15,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216 : 18,292.99 = 10,236.42 : x
  2. Step 2: Convert to fraction form
    12,216/18,292.99 = 10,236.42/x
  3. Step 3: Cross multiply
    12,216x = 18,292.99 × 10,236.42
  4. Step 4: Simplify right side
    12,216x = 187,254,703.10
  5. Step 5: Solve for x
    x = 187,254,703.10/12,216
  6. Step 6: Final answer
    x = 15,328.64

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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.