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Finding the Fourth Proportional to 19,189.50, 26,482.05 and 10,806

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Solution

The fourth proportional to 19,189.50, 26,482.05 and 10,806 is: 14,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.50 : 26,482.05 = 10,806 : x
  2. Step 2: Convert to fraction form
    19,189.50/26,482.05 = 10,806/x
  3. Step 3: Cross multiply
    19,189.50x = 26,482.05 × 10,806
  4. Step 4: Simplify right side
    19,189.50x = 286,165,032.30
  5. Step 5: Solve for x
    x = 286,165,032.30/19,189.50
  6. Step 6: Final answer
    x = 14,912.58

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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.