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Finding the Fourth Proportional to 19,888.64, 29,826.65 and 6,737.94

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Solution

The fourth proportional to 19,888.64, 29,826.65 and 6,737.94 is: 10,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888.64 : 29,826.65 = 6,737.94 : x
  2. Step 2: Convert to fraction form
    19,888.64/29,826.65 = 6,737.94/x
  3. Step 3: Cross multiply
    19,888.64x = 29,826.65 × 6,737.94
  4. Step 4: Simplify right side
    19,888.64x = 200,970,144.41
  5. Step 5: Solve for x
    x = 200,970,144.41/19,888.64
  6. Step 6: Final answer
    x = 10,104.77

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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.