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Finding the Fourth Proportional to 18,372.50, 25,354.08 and 9,989

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Solution

The fourth proportional to 18,372.50, 25,354.08 and 9,989 is: 13,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,372.50 : 25,354.08 = 9,989 : x
  2. Step 2: Convert to fraction form
    18,372.50/25,354.08 = 9,989/x
  3. Step 3: Cross multiply
    18,372.50x = 25,354.08 × 9,989
  4. Step 4: Simplify right side
    18,372.50x = 253,261,905.12
  5. Step 5: Solve for x
    x = 253,261,905.12/18,372.50
  6. Step 6: Final answer
    x = 13,784.84

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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.