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Finding the Fourth Proportional to 7,808.87, 10,776.22 and 4,272.08

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Solution

The fourth proportional to 7,808.87, 10,776.22 and 4,272.08 is: 5,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.87 : 10,776.22 = 4,272.08 : x
  2. Step 2: Convert to fraction form
    7,808.87/10,776.22 = 4,272.08/x
  3. Step 3: Cross multiply
    7,808.87x = 10,776.22 × 4,272.08
  4. Step 4: Simplify right side
    7,808.87x = 46,036,809.38
  5. Step 5: Solve for x
    x = 46,036,809.38/7,808.87
  6. Step 6: Final answer
    x = 5,895.45

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Half scale
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Double scale
Find fourth proportional to 7,809.87, 10,777.60 and 4,273.08
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.