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Finding the Fourth Proportional to 10,185.94, 15,255.21 and 9,905.66

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Solution

The fourth proportional to 10,185.94, 15,255.21 and 9,905.66 is: 14,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.94 : 15,255.21 = 9,905.66 : x
  2. Step 2: Convert to fraction form
    10,185.94/15,255.21 = 9,905.66/x
  3. Step 3: Cross multiply
    10,185.94x = 15,255.21 × 9,905.66
  4. Step 4: Simplify right side
    10,185.94x = 151,112,923.49
  5. Step 5: Solve for x
    x = 151,112,923.49/10,185.94
  6. Step 6: Final answer
    x = 14,835.45

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1.5x scale

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.