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Finding the Fourth Proportional to 4,668.48, 7,001.31 and 1,380.78

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Solution

The fourth proportional to 4,668.48, 7,001.31 and 1,380.78 is: 2,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.48 : 7,001.31 = 1,380.78 : x
  2. Step 2: Convert to fraction form
    4,668.48/7,001.31 = 1,380.78/x
  3. Step 3: Cross multiply
    4,668.48x = 7,001.31 × 1,380.78
  4. Step 4: Simplify right side
    4,668.48x = 9,667,268.82
  5. Step 5: Solve for x
    x = 9,667,268.82/4,668.48
  6. Step 6: Final answer
    x = 2,070.75

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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.