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Finding the Fourth Proportional to 7,535.82, 10,398.47 and 4,178.60

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Solution

The fourth proportional to 7,535.82, 10,398.47 and 4,178.60 is: 5,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.82 : 10,398.47 = 4,178.60 : x
  2. Step 2: Convert to fraction form
    7,535.82/10,398.47 = 4,178.60/x
  3. Step 3: Cross multiply
    7,535.82x = 10,398.47 × 4,178.60
  4. Step 4: Simplify right side
    7,535.82x = 43,451,046.74
  5. Step 5: Solve for x
    x = 43,451,046.74/7,535.82
  6. Step 6: Final answer
    x = 5,765.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.