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Finding the Fourth Proportional to 5,979.88, 8,970.16 and 1,820.03

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Solution

The fourth proportional to 5,979.88, 8,970.16 and 1,820.03 is: 2,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.88 : 8,970.16 = 1,820.03 : x
  2. Step 2: Convert to fraction form
    5,979.88/8,970.16 = 1,820.03/x
  3. Step 3: Cross multiply
    5,979.88x = 8,970.16 × 1,820.03
  4. Step 4: Simplify right side
    5,979.88x = 16,325,914.32
  5. Step 5: Solve for x
    x = 16,325,914.32/5,979.88
  6. Step 6: Final answer
    x = 2,730.14

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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.