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Finding the Fourth Proportional to 8,239.10, 12,353.19 and 4,543.10

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Solution

The fourth proportional to 8,239.10, 12,353.19 and 4,543.10 is: 6,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.10 : 12,353.19 = 4,543.10 : x
  2. Step 2: Convert to fraction form
    8,239.10/12,353.19 = 4,543.10/x
  3. Step 3: Cross multiply
    8,239.10x = 12,353.19 × 4,543.10
  4. Step 4: Simplify right side
    8,239.10x = 56,121,777.49
  5. Step 5: Solve for x
    x = 56,121,777.49/8,239.10
  6. Step 6: Final answer
    x = 6,811.64

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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.