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Finding the Fourth Proportional to 7,001.30, 9,662.24 and 3,857.50

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Solution

The fourth proportional to 7,001.30, 9,662.24 and 3,857.50 is: 5,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.30 : 9,662.24 = 3,857.50 : x
  2. Step 2: Convert to fraction form
    7,001.30/9,662.24 = 3,857.50/x
  3. Step 3: Cross multiply
    7,001.30x = 9,662.24 × 3,857.50
  4. Step 4: Simplify right side
    7,001.30x = 37,272,090.80
  5. Step 5: Solve for x
    x = 37,272,090.80/7,001.30
  6. Step 6: Final answer
    x = 5,323.60

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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.