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Finding the Fourth Proportional to 12,484.75, 18,728.90 and 4,048.40

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Solution

The fourth proportional to 12,484.75, 18,728.90 and 4,048.40 is: 6,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.75 : 18,728.90 = 4,048.40 : x
  2. Step 2: Convert to fraction form
    12,484.75/18,728.90 = 4,048.40/x
  3. Step 3: Cross multiply
    12,484.75x = 18,728.90 × 4,048.40
  4. Step 4: Simplify right side
    12,484.75x = 75,821,964.87
  5. Step 5: Solve for x
    x = 75,821,964.87/12,484.75
  6. Step 6: Final answer
    x = 6,073.17

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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.