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Finding the Fourth Proportional to 13,156.80, 19,702.80 and 12,573.60

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Solution

The fourth proportional to 13,156.80, 19,702.80 and 12,573.60 is: 18,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.80 : 19,702.80 = 12,573.60 : x
  2. Step 2: Convert to fraction form
    13,156.80/19,702.80 = 12,573.60/x
  3. Step 3: Cross multiply
    13,156.80x = 19,702.80 × 12,573.60
  4. Step 4: Simplify right side
    13,156.80x = 247,735,126.08
  5. Step 5: Solve for x
    x = 247,735,126.08/13,156.80
  6. Step 6: Final answer
    x = 18,829.44

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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.