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Finding the Fourth Proportional to 19,458, 26,856.24 and 12,382.92

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Solution

The fourth proportional to 19,458, 26,856.24 and 12,382.92 is: 17,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458 : 26,856.24 = 12,382.92 : x
  2. Step 2: Convert to fraction form
    19,458/26,856.24 = 12,382.92/x
  3. Step 3: Cross multiply
    19,458x = 26,856.24 × 12,382.92
  4. Step 4: Simplify right side
    19,458x = 332,558,671.42
  5. Step 5: Solve for x
    x = 332,558,671.42/19,458
  6. Step 6: Final answer
    x = 17,091.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.