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Finding the Fourth Proportional to 8,775, 13,168.98 and 4,158

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Solution

The fourth proportional to 8,775, 13,168.98 and 4,158 is: 6,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775 : 13,168.98 = 4,158 : x
  2. Step 2: Convert to fraction form
    8,775/13,168.98 = 4,158/x
  3. Step 3: Cross multiply
    8,775x = 13,168.98 × 4,158
  4. Step 4: Simplify right side
    8,775x = 54,756,618.84
  5. Step 5: Solve for x
    x = 54,756,618.84/8,775
  6. Step 6: Final answer
    x = 6,240.07

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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.