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Finding the Fourth Proportional to 21,643.56, 32,469.75 and 8,316

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Solution

The fourth proportional to 21,643.56, 32,469.75 and 8,316 is: 12,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.56 : 32,469.75 = 8,316 : x
  2. Step 2: Convert to fraction form
    21,643.56/32,469.75 = 8,316/x
  3. Step 3: Cross multiply
    21,643.56x = 32,469.75 × 8,316
  4. Step 4: Simplify right side
    21,643.56x = 270,018,441
  5. Step 5: Solve for x
    x = 270,018,441/21,643.56
  6. Step 6: Final answer
    x = 12,475.69

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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.