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Finding the Fourth Proportional to 7,209.40, 10,814.10 and 3,710.20

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Solution

The fourth proportional to 7,209.40, 10,814.10 and 3,710.20 is: 5,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.40 : 10,814.10 = 3,710.20 : x
  2. Step 2: Convert to fraction form
    7,209.40/10,814.10 = 3,710.20/x
  3. Step 3: Cross multiply
    7,209.40x = 10,814.10 × 3,710.20
  4. Step 4: Simplify right side
    7,209.40x = 40,122,473.82
  5. Step 5: Solve for x
    x = 40,122,473.82/7,209.40
  6. Step 6: Final answer
    x = 5,565.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.