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Finding the Fourth Proportional to 14,555, 21,832.50 and 5,321

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Solution

The fourth proportional to 14,555, 21,832.50 and 5,321 is: 7,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555 : 21,832.50 = 5,321 : x
  2. Step 2: Convert to fraction form
    14,555/21,832.50 = 5,321/x
  3. Step 3: Cross multiply
    14,555x = 21,832.50 × 5,321
  4. Step 4: Simplify right side
    14,555x = 116,170,732.50
  5. Step 5: Solve for x
    x = 116,170,732.50/14,555
  6. Step 6: Final answer
    x = 7,981.50

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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.