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Finding the Fourth Proportional to 7,458.66, 11,190 and 6,642.54

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Solution

The fourth proportional to 7,458.66, 11,190 and 6,642.54 is: 9,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.66 : 11,190 = 6,642.54 : x
  2. Step 2: Convert to fraction form
    7,458.66/11,190 = 6,642.54/x
  3. Step 3: Cross multiply
    7,458.66x = 11,190 × 6,642.54
  4. Step 4: Simplify right side
    7,458.66x = 74,330,022.60
  5. Step 5: Solve for x
    x = 74,330,022.60/7,458.66
  6. Step 6: Final answer
    x = 9,965.60

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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.