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Finding the Fourth Proportional to 31,616, 47,424.08 and 9,728

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Solution

The fourth proportional to 31,616, 47,424.08 and 9,728 is: 14,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616 : 47,424.08 = 9,728 : x
  2. Step 2: Convert to fraction form
    31,616/47,424.08 = 9,728/x
  3. Step 3: Cross multiply
    31,616x = 47,424.08 × 9,728
  4. Step 4: Simplify right side
    31,616x = 461,341,450.24
  5. Step 5: Solve for x
    x = 461,341,450.24/31,616
  6. Step 6: Final answer
    x = 14,592.02

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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.