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Finding the Fourth Proportional to 6,306.40, 9,466.80 and 3,710.80

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Solution

The fourth proportional to 6,306.40, 9,466.80 and 3,710.80 is: 5,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.40 : 9,466.80 = 3,710.80 : x
  2. Step 2: Convert to fraction form
    6,306.40/9,466.80 = 3,710.80/x
  3. Step 3: Cross multiply
    6,306.40x = 9,466.80 × 3,710.80
  4. Step 4: Simplify right side
    6,306.40x = 35,129,401.44
  5. Step 5: Solve for x
    x = 35,129,401.44/6,306.40
  6. Step 6: Final answer
    x = 5,570.44

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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.