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Finding the Fourth Proportional to 8,578.64, 11,838.12 and 4,851.92

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Solution

The fourth proportional to 8,578.64, 11,838.12 and 4,851.92 is: 6,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.64 : 11,838.12 = 4,851.92 : x
  2. Step 2: Convert to fraction form
    8,578.64/11,838.12 = 4,851.92/x
  3. Step 3: Cross multiply
    8,578.64x = 11,838.12 × 4,851.92
  4. Step 4: Simplify right side
    8,578.64x = 57,437,611.19
  5. Step 5: Solve for x
    x = 57,437,611.19/8,578.64
  6. Step 6: Final answer
    x = 6,695.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.