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Finding the Fourth Proportional to 39,476, 54,476.88 and 22,709

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Solution

The fourth proportional to 39,476, 54,476.88 and 22,709 is: 31,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,476 : 54,476.88 = 22,709 : x
  2. Step 2: Convert to fraction form
    39,476/54,476.88 = 22,709/x
  3. Step 3: Cross multiply
    39,476x = 54,476.88 × 22,709
  4. Step 4: Simplify right side
    39,476x = 1,237,115,467.92
  5. Step 5: Solve for x
    x = 1,237,115,467.92/39,476
  6. Step 6: Final answer
    x = 31,338.42

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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.