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Finding the Fourth Proportional to 6,989.76, 10,482 and 2,058

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Solution

The fourth proportional to 6,989.76, 10,482 and 2,058 is: 3,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.76 : 10,482 = 2,058 : x
  2. Step 2: Convert to fraction form
    6,989.76/10,482 = 2,058/x
  3. Step 3: Cross multiply
    6,989.76x = 10,482 × 2,058
  4. Step 4: Simplify right side
    6,989.76x = 21,571,956
  5. Step 5: Solve for x
    x = 21,571,956/6,989.76
  6. Step 6: Final answer
    x = 3,086.22

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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.