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Finding the Fourth Proportional to 6,139.66, 9,210.80 and 1,979.90

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Solution

The fourth proportional to 6,139.66, 9,210.80 and 1,979.90 is: 2,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.66 : 9,210.80 = 1,979.90 : x
  2. Step 2: Convert to fraction form
    6,139.66/9,210.80 = 1,979.90/x
  3. Step 3: Cross multiply
    6,139.66x = 9,210.80 × 1,979.90
  4. Step 4: Simplify right side
    6,139.66x = 18,236,453.02
  5. Step 5: Solve for x
    x = 18,236,453.02/6,139.66
  6. Step 6: Final answer
    x = 2,970.27

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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.