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Finding the Fourth Proportional to 17,602.11, 24,291.50 and 9,644.67

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Solution

The fourth proportional to 17,602.11, 24,291.50 and 9,644.67 is: 13,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.11 : 24,291.50 = 9,644.67 : x
  2. Step 2: Convert to fraction form
    17,602.11/24,291.50 = 9,644.67/x
  3. Step 3: Cross multiply
    17,602.11x = 24,291.50 × 9,644.67
  4. Step 4: Simplify right side
    17,602.11x = 234,283,453.08
  5. Step 5: Solve for x
    x = 234,283,453.08/17,602.11
  6. Step 6: Final answer
    x = 13,309.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.