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Finding the Fourth Proportional to 11,913.25, 17,870.64 and 3,147.94

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Solution

The fourth proportional to 11,913.25, 17,870.64 and 3,147.94 is: 4,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.25 : 17,870.64 = 3,147.94 : x
  2. Step 2: Convert to fraction form
    11,913.25/17,870.64 = 3,147.94/x
  3. Step 3: Cross multiply
    11,913.25x = 17,870.64 × 3,147.94
  4. Step 4: Simplify right side
    11,913.25x = 56,255,702.48
  5. Step 5: Solve for x
    x = 56,255,702.48/11,913.25
  6. Step 6: Final answer
    x = 4,722.11

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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.