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Finding the Fourth Proportional to 8,773, 13,165.98 and 4,156

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Solution

The fourth proportional to 8,773, 13,165.98 and 4,156 is: 6,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773 : 13,165.98 = 4,156 : x
  2. Step 2: Convert to fraction form
    8,773/13,165.98 = 4,156/x
  3. Step 3: Cross multiply
    8,773x = 13,165.98 × 4,156
  4. Step 4: Simplify right side
    8,773x = 54,717,812.88
  5. Step 5: Solve for x
    x = 54,717,812.88/8,773
  6. Step 6: Final answer
    x = 6,237.07

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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.