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Finding the Fourth Proportional to 21,035.30, 31,531.07 and 8,563.93

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Solution

The fourth proportional to 21,035.30, 31,531.07 and 8,563.93 is: 12,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.30 : 31,531.07 = 8,563.93 : x
  2. Step 2: Convert to fraction form
    21,035.30/31,531.07 = 8,563.93/x
  3. Step 3: Cross multiply
    21,035.30x = 31,531.07 × 8,563.93
  4. Step 4: Simplify right side
    21,035.30x = 270,029,818.89
  5. Step 5: Solve for x
    x = 270,029,818.89/21,035.30
  6. Step 6: Final answer
    x = 12,836.99

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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.