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Finding the Fourth Proportional to 6,981.87, 9,627.10 and 5,090.12

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Solution

The fourth proportional to 6,981.87, 9,627.10 and 5,090.12 is: 7,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.87 : 9,627.10 = 5,090.12 : x
  2. Step 2: Convert to fraction form
    6,981.87/9,627.10 = 5,090.12/x
  3. Step 3: Cross multiply
    6,981.87x = 9,627.10 × 5,090.12
  4. Step 4: Simplify right side
    6,981.87x = 49,003,033.39
  5. Step 5: Solve for x
    x = 49,003,033.39/6,981.87
  6. Step 6: Final answer
    x = 7,018.61

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1.5x scale

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.