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Finding the Fourth Proportional to 8,817, 13,231.74 and 4,200.36

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Solution

The fourth proportional to 8,817, 13,231.74 and 4,200.36 is: 6,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817 : 13,231.74 = 4,200.36 : x
  2. Step 2: Convert to fraction form
    8,817/13,231.74 = 4,200.36/x
  3. Step 3: Cross multiply
    8,817x = 13,231.74 × 4,200.36
  4. Step 4: Simplify right side
    8,817x = 55,578,071.43
  5. Step 5: Solve for x
    x = 55,578,071.43/8,817
  6. Step 6: Final answer
    x = 6,303.51

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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.