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Finding the Fourth Proportional to 21,501.92, 32,239.56 and 7,458.64

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Solution

The fourth proportional to 21,501.92, 32,239.56 and 7,458.64 is: 11,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.92 : 32,239.56 = 7,458.64 : x
  2. Step 2: Convert to fraction form
    21,501.92/32,239.56 = 7,458.64/x
  3. Step 3: Cross multiply
    21,501.92x = 32,239.56 × 7,458.64
  4. Step 4: Simplify right side
    21,501.92x = 240,463,271.80
  5. Step 5: Solve for x
    x = 240,463,271.80/21,501.92
  6. Step 6: Final answer
    x = 11,183.34

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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.