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Finding the Fourth Proportional to 39,461, 54,457.80 and 22,694

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Solution

The fourth proportional to 39,461, 54,457.80 and 22,694 is: 31,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461 : 54,457.80 = 22,694 : x
  2. Step 2: Convert to fraction form
    39,461/54,457.80 = 22,694/x
  3. Step 3: Cross multiply
    39,461x = 54,457.80 × 22,694
  4. Step 4: Simplify right side
    39,461x = 1,235,865,313.20
  5. Step 5: Solve for x
    x = 1,235,865,313.20/39,461
  6. Step 6: Final answer
    x = 31,318.65

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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.