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Finding the Fourth Proportional to 27,762.40, 41,638.98 and 9,989.47

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Solution

The fourth proportional to 27,762.40, 41,638.98 and 9,989.47 is: 14,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.40 : 41,638.98 = 9,989.47 : x
  2. Step 2: Convert to fraction form
    27,762.40/41,638.98 = 9,989.47/x
  3. Step 3: Cross multiply
    27,762.40x = 41,638.98 × 9,989.47
  4. Step 4: Simplify right side
    27,762.40x = 415,951,341.54
  5. Step 5: Solve for x
    x = 415,951,341.54/27,762.40
  6. Step 6: Final answer
    x = 14,982.54

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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.