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Finding the Fourth Proportional to 11,745, 16,208.64 and 6,440.04

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Solution

The fourth proportional to 11,745, 16,208.64 and 6,440.04 is: 8,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 16,208.64 = 6,440.04 : x
  2. Step 2: Convert to fraction form
    11,745/16,208.64 = 6,440.04/x
  3. Step 3: Cross multiply
    11,745x = 16,208.64 × 6,440.04
  4. Step 4: Simplify right side
    11,745x = 104,384,289.95
  5. Step 5: Solve for x
    x = 104,384,289.95/11,745
  6. Step 6: Final answer
    x = 8,887.55

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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.