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Finding the Fourth Proportional to 18,953.10, 28,436.98 and 7,856.94

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Solution

The fourth proportional to 18,953.10, 28,436.98 and 7,856.94 is: 11,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,953.10 : 28,436.98 = 7,856.94 : x
  2. Step 2: Convert to fraction form
    18,953.10/28,436.98 = 7,856.94/x
  3. Step 3: Cross multiply
    18,953.10x = 28,436.98 × 7,856.94
  4. Step 4: Simplify right side
    18,953.10x = 223,427,645.64
  5. Step 5: Solve for x
    x = 223,427,645.64/18,953.10
  6. Step 6: Final answer
    x = 11,788.45

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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.