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Finding the Fourth Proportional to 11,745.66, 16,208.94 and 6,440.50

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Solution

The fourth proportional to 11,745.66, 16,208.94 and 6,440.50 is: 8,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.66 : 16,208.94 = 6,440.50 : x
  2. Step 2: Convert to fraction form
    11,745.66/16,208.94 = 6,440.50/x
  3. Step 3: Cross multiply
    11,745.66x = 16,208.94 × 6,440.50
  4. Step 4: Simplify right side
    11,745.66x = 104,393,678.07
  5. Step 5: Solve for x
    x = 104,393,678.07/11,745.66
  6. Step 6: Final answer
    x = 8,887.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.