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Finding the Fourth Proportional to 39,617, 54,671.46 and 22,850

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Solution

The fourth proportional to 39,617, 54,671.46 and 22,850 is: 31,533

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,617 : 54,671.46 = 22,850 : x
  2. Step 2: Convert to fraction form
    39,617/54,671.46 = 22,850/x
  3. Step 3: Cross multiply
    39,617x = 54,671.46 × 22,850
  4. Step 4: Simplify right side
    39,617x = 1,249,242,861
  5. Step 5: Solve for x
    x = 1,249,242,861/39,617
  6. Step 6: Final answer
    x = 31,533

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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.