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Finding the Fourth Proportional to 8,334, 12,501.12 and 2,178

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Solution

The fourth proportional to 8,334, 12,501.12 and 2,178 is: 3,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334 : 12,501.12 = 2,178 : x
  2. Step 2: Convert to fraction form
    8,334/12,501.12 = 2,178/x
  3. Step 3: Cross multiply
    8,334x = 12,501.12 × 2,178
  4. Step 4: Simplify right side
    8,334x = 27,227,439.36
  5. Step 5: Solve for x
    x = 27,227,439.36/8,334
  6. Step 6: Final answer
    x = 3,267.03

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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.