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Finding the Fourth Proportional to 21,499.08, 32,261.07 and 9,018

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Solution

The fourth proportional to 21,499.08, 32,261.07 and 9,018 is: 13,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.08 : 32,261.07 = 9,018 : x
  2. Step 2: Convert to fraction form
    21,499.08/32,261.07 = 9,018/x
  3. Step 3: Cross multiply
    21,499.08x = 32,261.07 × 9,018
  4. Step 4: Simplify right side
    21,499.08x = 290,930,329.26
  5. Step 5: Solve for x
    x = 290,930,329.26/21,499.08
  6. Step 6: Final answer
    x = 13,532.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.