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Finding the Fourth Proportional to 7,449.00, 11,178.11 and 4,330.47

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Solution

The fourth proportional to 7,449.00, 11,178.11 and 4,330.47 is: 6,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.00 : 11,178.11 = 4,330.47 : x
  2. Step 2: Convert to fraction form
    7,449.00/11,178.11 = 4,330.47/x
  3. Step 3: Cross multiply
    7,449.00x = 11,178.11 × 4,330.47
  4. Step 4: Simplify right side
    7,449.00x = 48,406,464.60
  5. Step 5: Solve for x
    x = 48,406,464.60/7,449.00
  6. Step 6: Final answer
    x = 6,498.39

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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.