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Finding the Fourth Proportional to 32,894, 45,394.80 and 17,990

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Solution

The fourth proportional to 32,894, 45,394.80 and 17,990 is: 24,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894 : 45,394.80 = 17,990 : x
  2. Step 2: Convert to fraction form
    32,894/45,394.80 = 17,990/x
  3. Step 3: Cross multiply
    32,894x = 45,394.80 × 17,990
  4. Step 4: Simplify right side
    32,894x = 816,652,452
  5. Step 5: Solve for x
    x = 816,652,452/32,894
  6. Step 6: Final answer
    x = 24,826.79

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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.