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Finding the Fourth Proportional to 21,204.13, 31,806.21 and 7,353.13

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Solution

The fourth proportional to 21,204.13, 31,806.21 and 7,353.13 is: 11,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.13 : 31,806.21 = 7,353.13 : x
  2. Step 2: Convert to fraction form
    21,204.13/31,806.21 = 7,353.13/x
  3. Step 3: Cross multiply
    21,204.13x = 31,806.21 × 7,353.13
  4. Step 4: Simplify right side
    21,204.13x = 233,875,196.94
  5. Step 5: Solve for x
    x = 233,875,196.94/21,204.13
  6. Step 6: Final answer
    x = 11,029.70

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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.