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Finding the Fourth Proportional to 12,193.74, 18,278.06 and 4,795.20

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Solution

The fourth proportional to 12,193.74, 18,278.06 and 4,795.20 is: 7,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.74 : 18,278.06 = 4,795.20 : x
  2. Step 2: Convert to fraction form
    12,193.74/18,278.06 = 4,795.20/x
  3. Step 3: Cross multiply
    12,193.74x = 18,278.06 × 4,795.20
  4. Step 4: Simplify right side
    12,193.74x = 87,646,929.34
  5. Step 5: Solve for x
    x = 87,646,929.34/12,193.74
  6. Step 6: Final answer
    x = 7,187.86

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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.