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Finding the Fourth Proportional to 39,884.85, 59,808.98 and 13,578.89

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Solution

The fourth proportional to 39,884.85, 59,808.98 and 13,578.89 is: 20,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884.85 : 59,808.98 = 13,578.89 : x
  2. Step 2: Convert to fraction form
    39,884.85/59,808.98 = 13,578.89/x
  3. Step 3: Cross multiply
    39,884.85x = 59,808.98 × 13,578.89
  4. Step 4: Simplify right side
    39,884.85x = 812,139,295.33
  5. Step 5: Solve for x
    x = 812,139,295.33/39,884.85
  6. Step 6: Final answer
    x = 20,362.10

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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.