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Finding the Fourth Proportional to 6,806.64, 10,162.32 and 6,389.49

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Solution

The fourth proportional to 6,806.64, 10,162.32 and 6,389.49 is: 9,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.64 : 10,162.32 = 6,389.49 : x
  2. Step 2: Convert to fraction form
    6,806.64/10,162.32 = 6,389.49/x
  3. Step 3: Cross multiply
    6,806.64x = 10,162.32 × 6,389.49
  4. Step 4: Simplify right side
    6,806.64x = 64,932,042.02
  5. Step 5: Solve for x
    x = 64,932,042.02/6,806.64
  6. Step 6: Final answer
    x = 9,539.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.