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Finding the Fourth Proportional to 20,855.16, 31,295.70 and 8,543.16

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Solution

The fourth proportional to 20,855.16, 31,295.70 and 8,543.16 is: 12,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.16 : 31,295.70 = 8,543.16 : x
  2. Step 2: Convert to fraction form
    20,855.16/31,295.70 = 8,543.16/x
  3. Step 3: Cross multiply
    20,855.16x = 31,295.70 × 8,543.16
  4. Step 4: Simplify right side
    20,855.16x = 267,364,172.41
  5. Step 5: Solve for x
    x = 267,364,172.41/20,855.16
  6. Step 6: Final answer
    x = 12,820.05

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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.