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Finding the Fourth Proportional to 6,959.80, 10,440.10 and 2,030.20

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Solution

The fourth proportional to 6,959.80, 10,440.10 and 2,030.20 is: 3,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.80 : 10,440.10 = 2,030.20 : x
  2. Step 2: Convert to fraction form
    6,959.80/10,440.10 = 2,030.20/x
  3. Step 3: Cross multiply
    6,959.80x = 10,440.10 × 2,030.20
  4. Step 4: Simplify right side
    6,959.80x = 21,195,491.02
  5. Step 5: Solve for x
    x = 21,195,491.02/6,959.80
  6. Step 6: Final answer
    x = 3,045.42

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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.