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Finding the Fourth Proportional to 19,762.72, 29,630.10 and 9,894.92

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Solution

The fourth proportional to 19,762.72, 29,630.10 and 9,894.92 is: 14,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.72 : 29,630.10 = 9,894.92 : x
  2. Step 2: Convert to fraction form
    19,762.72/29,630.10 = 9,894.92/x
  3. Step 3: Cross multiply
    19,762.72x = 29,630.10 × 9,894.92
  4. Step 4: Simplify right side
    19,762.72x = 293,187,469.09
  5. Step 5: Solve for x
    x = 293,187,469.09/19,762.72
  6. Step 6: Final answer
    x = 14,835.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.