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Finding the Fourth Proportional to 7,564.21, 10,438 and 4,207.03

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Solution

The fourth proportional to 7,564.21, 10,438 and 4,207.03 is: 5,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.21 : 10,438 = 4,207.03 : x
  2. Step 2: Convert to fraction form
    7,564.21/10,438 = 4,207.03/x
  3. Step 3: Cross multiply
    7,564.21x = 10,438 × 4,207.03
  4. Step 4: Simplify right side
    7,564.21x = 43,912,979.14
  5. Step 5: Solve for x
    x = 43,912,979.14/7,564.21
  6. Step 6: Final answer
    x = 5,805.36

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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.