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Finding the Fourth Proportional to 5,340.08, 8,009.80 and 2,054.80

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Solution

The fourth proportional to 5,340.08, 8,009.80 and 2,054.80 is: 3,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.08 : 8,009.80 = 2,054.80 : x
  2. Step 2: Convert to fraction form
    5,340.08/8,009.80 = 2,054.80/x
  3. Step 3: Cross multiply
    5,340.08x = 8,009.80 × 2,054.80
  4. Step 4: Simplify right side
    5,340.08x = 16,458,537.04
  5. Step 5: Solve for x
    x = 16,458,537.04/5,340.08
  6. Step 6: Final answer
    x = 3,082.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.