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Finding the Fourth Proportional to 17,865.40, 26,801.51 and 8,509.82

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Solution

The fourth proportional to 17,865.40, 26,801.51 and 8,509.82 is: 12,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.40 : 26,801.51 = 8,509.82 : x
  2. Step 2: Convert to fraction form
    17,865.40/26,801.51 = 8,509.82/x
  3. Step 3: Cross multiply
    17,865.40x = 26,801.51 × 8,509.82
  4. Step 4: Simplify right side
    17,865.40x = 228,076,115.50
  5. Step 5: Solve for x
    x = 228,076,115.50/17,865.40
  6. Step 6: Final answer
    x = 12,766.36

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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.