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Finding the Fourth Proportional to 6,912.37, 10,370.10 and 1,981.90

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Solution

The fourth proportional to 6,912.37, 10,370.10 and 1,981.90 is: 2,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.37 : 10,370.10 = 1,981.90 : x
  2. Step 2: Convert to fraction form
    6,912.37/10,370.10 = 1,981.90/x
  3. Step 3: Cross multiply
    6,912.37x = 10,370.10 × 1,981.90
  4. Step 4: Simplify right side
    6,912.37x = 20,552,501.19
  5. Step 5: Solve for x
    x = 20,552,501.19/6,912.37
  6. Step 6: Final answer
    x = 2,973.29

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1.5x scale

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.