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Finding the Fourth Proportional to 6,696.46, 9,977.86 and 6,398.38

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Solution

The fourth proportional to 6,696.46, 9,977.86 and 6,398.38 is: 9,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.46 : 9,977.86 = 6,398.38 : x
  2. Step 2: Convert to fraction form
    6,696.46/9,977.86 = 6,398.38/x
  3. Step 3: Cross multiply
    6,696.46x = 9,977.86 × 6,398.38
  4. Step 4: Simplify right side
    6,696.46x = 63,842,139.87
  5. Step 5: Solve for x
    x = 63,842,139.87/6,696.46
  6. Step 6: Final answer
    x = 9,533.71

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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.