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Finding the Fourth Proportional to 8,892.64, 13,328.36 and 4,142.42

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Solution

The fourth proportional to 8,892.64, 13,328.36 and 4,142.42 is: 6,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.64 : 13,328.36 = 4,142.42 : x
  2. Step 2: Convert to fraction form
    8,892.64/13,328.36 = 4,142.42/x
  3. Step 3: Cross multiply
    8,892.64x = 13,328.36 × 4,142.42
  4. Step 4: Simplify right side
    8,892.64x = 55,211,644.32
  5. Step 5: Solve for x
    x = 55,211,644.32/8,892.64
  6. Step 6: Final answer
    x = 6,208.69

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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.