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Finding the Fourth Proportional to 21,822.12, 32,734.87 and 7,031.50

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Solution

The fourth proportional to 21,822.12, 32,734.87 and 7,031.50 is: 10,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.12 : 32,734.87 = 7,031.50 : x
  2. Step 2: Convert to fraction form
    21,822.12/32,734.87 = 7,031.50/x
  3. Step 3: Cross multiply
    21,822.12x = 32,734.87 × 7,031.50
  4. Step 4: Simplify right side
    21,822.12x = 230,175,138.99
  5. Step 5: Solve for x
    x = 230,175,138.99/21,822.12
  6. Step 6: Final answer
    x = 10,547.79

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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.