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Finding the Fourth Proportional to 21,189.52, 31,784.24 and 7,338.52

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Solution

The fourth proportional to 21,189.52, 31,784.24 and 7,338.52 is: 11,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.52 : 31,784.24 = 7,338.52 : x
  2. Step 2: Convert to fraction form
    21,189.52/31,784.24 = 7,338.52/x
  3. Step 3: Cross multiply
    21,189.52x = 31,784.24 × 7,338.52
  4. Step 4: Simplify right side
    21,189.52x = 233,249,280.92
  5. Step 5: Solve for x
    x = 233,249,280.92/21,189.52
  6. Step 6: Final answer
    x = 11,007.77

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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.