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Finding the Fourth Proportional to 21,201.55, 31,802.82 and 6,410.41

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Solution

The fourth proportional to 21,201.55, 31,802.82 and 6,410.41 is: 9,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.55 : 31,802.82 = 6,410.41 : x
  2. Step 2: Convert to fraction form
    21,201.55/31,802.82 = 6,410.41/x
  3. Step 3: Cross multiply
    21,201.55x = 31,802.82 × 6,410.41
  4. Step 4: Simplify right side
    21,201.55x = 203,868,956.34
  5. Step 5: Solve for x
    x = 203,868,956.34/21,201.55
  6. Step 6: Final answer
    x = 9,615.76

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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.