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Finding the Fourth Proportional to 11,155.50, 16,737.30 and 4,230

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Solution

The fourth proportional to 11,155.50, 16,737.30 and 4,230 is: 6,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.50 : 16,737.30 = 4,230 : x
  2. Step 2: Convert to fraction form
    11,155.50/16,737.30 = 4,230/x
  3. Step 3: Cross multiply
    11,155.50x = 16,737.30 × 4,230
  4. Step 4: Simplify right side
    11,155.50x = 70,798,779
  5. Step 5: Solve for x
    x = 70,798,779/11,155.50
  6. Step 6: Final answer
    x = 6,346.54

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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.