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Finding the Fourth Proportional to 21,622.52, 32,428.52 and 6,828.68

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Solution

The fourth proportional to 21,622.52, 32,428.52 and 6,828.68 is: 10,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.52 : 32,428.52 = 6,828.68 : x
  2. Step 2: Convert to fraction form
    21,622.52/32,428.52 = 6,828.68/x
  3. Step 3: Cross multiply
    21,622.52x = 32,428.52 × 6,828.68
  4. Step 4: Simplify right side
    21,622.52x = 221,443,985.95
  5. Step 5: Solve for x
    x = 221,443,985.95/21,622.52
  6. Step 6: Final answer
    x = 10,241.36

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1.5x scale

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.