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Finding the Fourth Proportional to 7,223.04, 10,823.04 and 4,147.20

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Solution

The fourth proportional to 7,223.04, 10,823.04 and 4,147.20 is: 6,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.04 : 10,823.04 = 4,147.20 : x
  2. Step 2: Convert to fraction form
    7,223.04/10,823.04 = 4,147.20/x
  3. Step 3: Cross multiply
    7,223.04x = 10,823.04 × 4,147.20
  4. Step 4: Simplify right side
    7,223.04x = 44,885,311.49
  5. Step 5: Solve for x
    x = 44,885,311.49/7,223.04
  6. Step 6: Final answer
    x = 6,214.19

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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.