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Finding the Fourth Proportional to 19,830.88, 29,746.34 and 8,135.90

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Solution

The fourth proportional to 19,830.88, 29,746.34 and 8,135.90 is: 12,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.88 : 29,746.34 = 8,135.90 : x
  2. Step 2: Convert to fraction form
    19,830.88/29,746.34 = 8,135.90/x
  3. Step 3: Cross multiply
    19,830.88x = 29,746.34 × 8,135.90
  4. Step 4: Simplify right side
    19,830.88x = 242,013,247.61
  5. Step 5: Solve for x
    x = 242,013,247.61/19,830.88
  6. Step 6: Final answer
    x = 12,203.86

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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.