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Finding the Fourth Proportional to 7,197.20, 10,820.10 and 5,752.16

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Solution

The fourth proportional to 7,197.20, 10,820.10 and 5,752.16 is: 8,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.20 : 10,820.10 = 5,752.16 : x
  2. Step 2: Convert to fraction form
    7,197.20/10,820.10 = 5,752.16/x
  3. Step 3: Cross multiply
    7,197.20x = 10,820.10 × 5,752.16
  4. Step 4: Simplify right side
    7,197.20x = 62,238,946.42
  5. Step 5: Solve for x
    x = 62,238,946.42/7,197.20
  6. Step 6: Final answer
    x = 8,647.66

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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.