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Finding the Fourth Proportional to 19,101.90, 28,657.82 and 7,255.90

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Solution

The fourth proportional to 19,101.90, 28,657.82 and 7,255.90 is: 10,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101.90 : 28,657.82 = 7,255.90 : x
  2. Step 2: Convert to fraction form
    19,101.90/28,657.82 = 7,255.90/x
  3. Step 3: Cross multiply
    19,101.90x = 28,657.82 × 7,255.90
  4. Step 4: Simplify right side
    19,101.90x = 207,938,276.14
  5. Step 5: Solve for x
    x = 207,938,276.14/19,101.90
  6. Step 6: Final answer
    x = 10,885.74

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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.