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Finding the Fourth Proportional to 39,689.69, 54,772.78 and 21,784.54

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Solution

The fourth proportional to 39,689.69, 54,772.78 and 21,784.54 is: 30,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,689.69 : 54,772.78 = 21,784.54 : x
  2. Step 2: Convert to fraction form
    39,689.69/54,772.78 = 21,784.54/x
  3. Step 3: Cross multiply
    39,689.69x = 54,772.78 × 21,784.54
  4. Step 4: Simplify right side
    39,689.69x = 1,193,199,816.82
  5. Step 5: Solve for x
    x = 1,193,199,816.82/39,689.69
  6. Step 6: Final answer
    x = 30,063.22

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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.