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Finding the Fourth Proportional to 19,118, 28,669.72 and 7,429.68

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Solution

The fourth proportional to 19,118, 28,669.72 and 7,429.68 is: 11,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,118 : 28,669.72 = 7,429.68 : x
  2. Step 2: Convert to fraction form
    19,118/28,669.72 = 7,429.68/x
  3. Step 3: Cross multiply
    19,118x = 28,669.72 × 7,429.68
  4. Step 4: Simplify right side
    19,118x = 213,006,845.29
  5. Step 5: Solve for x
    x = 213,006,845.29/19,118
  6. Step 6: Final answer
    x = 11,141.69

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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.