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Finding the Fourth Proportional to 19,154, 28,742.40 and 8,766.56

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Solution

The fourth proportional to 19,154, 28,742.40 and 8,766.56 is: 13,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,154 : 28,742.40 = 8,766.56 : x
  2. Step 2: Convert to fraction form
    19,154/28,742.40 = 8,766.56/x
  3. Step 3: Cross multiply
    19,154x = 28,742.40 × 8,766.56
  4. Step 4: Simplify right side
    19,154x = 251,971,974.14
  5. Step 5: Solve for x
    x = 251,971,974.14/19,154
  6. Step 6: Final answer
    x = 13,155.06

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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.