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Finding the Fourth Proportional to 5,677.93, 8,518.04 and 1,979.16

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Solution

The fourth proportional to 5,677.93, 8,518.04 and 1,979.16 is: 2,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.93 : 8,518.04 = 1,979.16 : x
  2. Step 2: Convert to fraction form
    5,677.93/8,518.04 = 1,979.16/x
  3. Step 3: Cross multiply
    5,677.93x = 8,518.04 × 1,979.16
  4. Step 4: Simplify right side
    5,677.93x = 16,858,554.15
  5. Step 5: Solve for x
    x = 16,858,554.15/5,677.93
  6. Step 6: Final answer
    x = 2,969.14

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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.