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Finding the Fourth Proportional to 8,835, 13,254.12 and 4,218

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Solution

The fourth proportional to 8,835, 13,254.12 and 4,218 is: 6,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835 : 13,254.12 = 4,218 : x
  2. Step 2: Convert to fraction form
    8,835/13,254.12 = 4,218/x
  3. Step 3: Cross multiply
    8,835x = 13,254.12 × 4,218
  4. Step 4: Simplify right side
    8,835x = 55,905,878.16
  5. Step 5: Solve for x
    x = 55,905,878.16/8,835
  6. Step 6: Final answer
    x = 6,327.77

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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.