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Finding the Fourth Proportional to 12,048.63, 18,068.51 and 4,148.90

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Solution

The fourth proportional to 12,048.63, 18,068.51 and 4,148.90 is: 6,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.63 : 18,068.51 = 4,148.90 : x
  2. Step 2: Convert to fraction form
    12,048.63/18,068.51 = 4,148.90/x
  3. Step 3: Cross multiply
    12,048.63x = 18,068.51 × 4,148.90
  4. Step 4: Simplify right side
    12,048.63x = 74,964,330.05
  5. Step 5: Solve for x
    x = 74,964,330.05/12,048.63
  6. Step 6: Final answer
    x = 6,221.81

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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.