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Finding the Fourth Proportional to 7,655.20, 11,457.20 and 5,351.20

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Solution

The fourth proportional to 7,655.20, 11,457.20 and 5,351.20 is: 8,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.20 : 11,457.20 = 5,351.20 : x
  2. Step 2: Convert to fraction form
    7,655.20/11,457.20 = 5,351.20/x
  3. Step 3: Cross multiply
    7,655.20x = 11,457.20 × 5,351.20
  4. Step 4: Simplify right side
    7,655.20x = 61,309,768.64
  5. Step 5: Solve for x
    x = 61,309,768.64/7,655.20
  6. Step 6: Final answer
    x = 8,008.90

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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.