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Finding the Fourth Proportional to 12,019.52, 18,036.14 and 6,472.78

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Solution

The fourth proportional to 12,019.52, 18,036.14 and 6,472.78 is: 9,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.52 : 18,036.14 = 6,472.78 : x
  2. Step 2: Convert to fraction form
    12,019.52/18,036.14 = 6,472.78/x
  3. Step 3: Cross multiply
    12,019.52x = 18,036.14 × 6,472.78
  4. Step 4: Simplify right side
    12,019.52x = 116,743,888.81
  5. Step 5: Solve for x
    x = 116,743,888.81/12,019.52
  6. Step 6: Final answer
    x = 9,712.86

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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.