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Finding the Fourth Proportional to 8,978.94, 13,468.41 and 3,135.42

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Solution

The fourth proportional to 8,978.94, 13,468.41 and 3,135.42 is: 4,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.94 : 13,468.41 = 3,135.42 : x
  2. Step 2: Convert to fraction form
    8,978.94/13,468.41 = 3,135.42/x
  3. Step 3: Cross multiply
    8,978.94x = 13,468.41 × 3,135.42
  4. Step 4: Simplify right side
    8,978.94x = 42,229,122.08
  5. Step 5: Solve for x
    x = 42,229,122.08/8,978.94
  6. Step 6: Final answer
    x = 4,703.13

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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.