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Finding the Fourth Proportional to 21,216, 31,599.90 and 20,105.76

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Solution

The fourth proportional to 21,216, 31,599.90 and 20,105.76 is: 29,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216 : 31,599.90 = 20,105.76 : x
  2. Step 2: Convert to fraction form
    21,216/31,599.90 = 20,105.76/x
  3. Step 3: Cross multiply
    21,216x = 31,599.90 × 20,105.76
  4. Step 4: Simplify right side
    21,216x = 635,340,005.42
  5. Step 5: Solve for x
    x = 635,340,005.42/21,216
  6. Step 6: Final answer
    x = 29,946.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.