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Finding the Fourth Proportional to 7,101.90, 10,657.65 and 3,981.90

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Solution

The fourth proportional to 7,101.90, 10,657.65 and 3,981.90 is: 5,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.90 : 10,657.65 = 3,981.90 : x
  2. Step 2: Convert to fraction form
    7,101.90/10,657.65 = 3,981.90/x
  3. Step 3: Cross multiply
    7,101.90x = 10,657.65 × 3,981.90
  4. Step 4: Simplify right side
    7,101.90x = 42,437,696.54
  5. Step 5: Solve for x
    x = 42,437,696.54/7,101.90
  6. Step 6: Final answer
    x = 5,975.54

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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.