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Finding the Fourth Proportional to 12,240, 18,362.88 and 4,032

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Solution

The fourth proportional to 12,240, 18,362.88 and 4,032 is: 6,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240 : 18,362.88 = 4,032 : x
  2. Step 2: Convert to fraction form
    12,240/18,362.88 = 4,032/x
  3. Step 3: Cross multiply
    12,240x = 18,362.88 × 4,032
  4. Step 4: Simplify right side
    12,240x = 74,039,132.16
  5. Step 5: Solve for x
    x = 74,039,132.16/12,240
  6. Step 6: Final answer
    x = 6,048.95

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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.