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Finding the Fourth Proportional to 19,916.48, 29,880.48 and 8,223.68

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Solution

The fourth proportional to 19,916.48, 29,880.48 and 8,223.68 is: 12,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,916.48 : 29,880.48 = 8,223.68 : x
  2. Step 2: Convert to fraction form
    19,916.48/29,880.48 = 8,223.68/x
  3. Step 3: Cross multiply
    19,916.48x = 29,880.48 × 8,223.68
  4. Step 4: Simplify right side
    19,916.48x = 245,727,505.77
  5. Step 5: Solve for x
    x = 245,727,505.77/19,916.48
  6. Step 6: Final answer
    x = 12,337.90

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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.