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Finding the Fourth Proportional to 6,891.98, 10,291.16 and 6,705.14

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Solution

The fourth proportional to 6,891.98, 10,291.16 and 6,705.14 is: 10,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.98 : 10,291.16 = 6,705.14 : x
  2. Step 2: Convert to fraction form
    6,891.98/10,291.16 = 6,705.14/x
  3. Step 3: Cross multiply
    6,891.98x = 10,291.16 × 6,705.14
  4. Step 4: Simplify right side
    6,891.98x = 69,003,633.87
  5. Step 5: Solve for x
    x = 69,003,633.87/6,891.98
  6. Step 6: Final answer
    x = 10,012.17

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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.