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Finding the Fourth Proportional to 21,202.08, 31,806 and 7,352.16

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Solution

The fourth proportional to 21,202.08, 31,806 and 7,352.16 is: 11,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.08 : 31,806 = 7,352.16 : x
  2. Step 2: Convert to fraction form
    21,202.08/31,806 = 7,352.16/x
  3. Step 3: Cross multiply
    21,202.08x = 31,806 × 7,352.16
  4. Step 4: Simplify right side
    21,202.08x = 233,842,800.96
  5. Step 5: Solve for x
    x = 233,842,800.96/21,202.08
  6. Step 6: Final answer
    x = 11,029.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.