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Finding the Fourth Proportional to 7,127.87, 10,616.64 and 6,808.05

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Solution

The fourth proportional to 7,127.87, 10,616.64 and 6,808.05 is: 10,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.87 : 10,616.64 = 6,808.05 : x
  2. Step 2: Convert to fraction form
    7,127.87/10,616.64 = 6,808.05/x
  3. Step 3: Cross multiply
    7,127.87x = 10,616.64 × 6,808.05
  4. Step 4: Simplify right side
    7,127.87x = 72,278,590.42
  5. Step 5: Solve for x
    x = 72,278,590.42/7,127.87
  6. Step 6: Final answer
    x = 10,140.29

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Half scale
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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.