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Finding the Fourth Proportional to 21,627, 32,440.50 and 9,315

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Solution

The fourth proportional to 21,627, 32,440.50 and 9,315 is: 13,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,627 : 32,440.50 = 9,315 : x
  2. Step 2: Convert to fraction form
    21,627/32,440.50 = 9,315/x
  3. Step 3: Cross multiply
    21,627x = 32,440.50 × 9,315
  4. Step 4: Simplify right side
    21,627x = 302,183,257.50
  5. Step 5: Solve for x
    x = 302,183,257.50/21,627
  6. Step 6: Final answer
    x = 13,972.50

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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.