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Finding the Fourth Proportional to 14,277, 19,702.26 and 7,989.42

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Solution

The fourth proportional to 14,277, 19,702.26 and 7,989.42 is: 11,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277 : 19,702.26 = 7,989.42 : x
  2. Step 2: Convert to fraction form
    14,277/19,702.26 = 7,989.42/x
  3. Step 3: Cross multiply
    14,277x = 19,702.26 × 7,989.42
  4. Step 4: Simplify right side
    14,277x = 157,409,630.09
  5. Step 5: Solve for x
    x = 157,409,630.09/14,277
  6. Step 6: Final answer
    x = 11,025.40

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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.