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Finding the Fourth Proportional to 32,982, 45,515.16 and 18,078

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Solution

The fourth proportional to 32,982, 45,515.16 and 18,078 is: 24,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982 : 45,515.16 = 18,078 : x
  2. Step 2: Convert to fraction form
    32,982/45,515.16 = 18,078/x
  3. Step 3: Cross multiply
    32,982x = 45,515.16 × 18,078
  4. Step 4: Simplify right side
    32,982x = 822,823,062.48
  5. Step 5: Solve for x
    x = 822,823,062.48/32,982
  6. Step 6: Final answer
    x = 24,947.64

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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.