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Finding the Fourth Proportional to 21,025.30, 31,538.94 and 8,538.88

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Solution

The fourth proportional to 21,025.30, 31,538.94 and 8,538.88 is: 12,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,025.30 : 31,538.94 = 8,538.88 : x
  2. Step 2: Convert to fraction form
    21,025.30/31,538.94 = 8,538.88/x
  3. Step 3: Cross multiply
    21,025.30x = 31,538.94 × 8,538.88
  4. Step 4: Simplify right side
    21,025.30x = 269,307,223.99
  5. Step 5: Solve for x
    x = 269,307,223.99/21,025.30
  6. Step 6: Final answer
    x = 12,808.72

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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.