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Finding the Fourth Proportional to 21,461.29, 32,163.68 and 10,347.68

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Solution

The fourth proportional to 21,461.29, 32,163.68 and 10,347.68 is: 15,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.29 : 32,163.68 = 10,347.68 : x
  2. Step 2: Convert to fraction form
    21,461.29/32,163.68 = 10,347.68/x
  3. Step 3: Cross multiply
    21,461.29x = 32,163.68 × 10,347.68
  4. Step 4: Simplify right side
    21,461.29x = 332,819,574.54
  5. Step 5: Solve for x
    x = 332,819,574.54/21,461.29
  6. Step 6: Final answer
    x = 15,507.90

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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.