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Finding the Fourth Proportional to 12,999.18, 17,946.09 and 8,225.46

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Solution

The fourth proportional to 12,999.18, 17,946.09 and 8,225.46 is: 11,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.18 : 17,946.09 = 8,225.46 : x
  2. Step 2: Convert to fraction form
    12,999.18/17,946.09 = 8,225.46/x
  3. Step 3: Cross multiply
    12,999.18x = 17,946.09 × 8,225.46
  4. Step 4: Simplify right side
    12,999.18x = 147,614,845.45
  5. Step 5: Solve for x
    x = 147,614,845.45/12,999.18
  6. Step 6: Final answer
    x = 11,355.70

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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.