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Finding the Fourth Proportional to 12,503.50, 18,757.78 and 5,578

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Solution

The fourth proportional to 12,503.50, 18,757.78 and 5,578 is: 8,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.50 : 18,757.78 = 5,578 : x
  2. Step 2: Convert to fraction form
    12,503.50/18,757.78 = 5,578/x
  3. Step 3: Cross multiply
    12,503.50x = 18,757.78 × 5,578
  4. Step 4: Simplify right side
    12,503.50x = 104,630,896.84
  5. Step 5: Solve for x
    x = 104,630,896.84/12,503.50
  6. Step 6: Final answer
    x = 8,368.13

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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.