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Finding the Fourth Proportional to 7,001.80, 9,662.47 and 3,857.99

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Solution

The fourth proportional to 7,001.80, 9,662.47 and 3,857.99 is: 5,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.80 : 9,662.47 = 3,857.99 : x
  2. Step 2: Convert to fraction form
    7,001.80/9,662.47 = 3,857.99/x
  3. Step 3: Cross multiply
    7,001.80x = 9,662.47 × 3,857.99
  4. Step 4: Simplify right side
    7,001.80x = 37,277,654.68
  5. Step 5: Solve for x
    x = 37,277,654.68/7,001.80
  6. Step 6: Final answer
    x = 5,324.01

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1.5x scale

Why These Related Problems?

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