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Finding the Fourth Proportional to 8,433, 12,640.86 and 3,505.50

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Solution

The fourth proportional to 8,433, 12,640.86 and 3,505.50 is: 5,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433 : 12,640.86 = 3,505.50 : x
  2. Step 2: Convert to fraction form
    8,433/12,640.86 = 3,505.50/x
  3. Step 3: Cross multiply
    8,433x = 12,640.86 × 3,505.50
  4. Step 4: Simplify right side
    8,433x = 44,312,534.73
  5. Step 5: Solve for x
    x = 44,312,534.73/8,433
  6. Step 6: Final answer
    x = 5,254.66

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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.