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Finding the Fourth Proportional to 9,237.56, 13,905.71 and 8,285

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Solution

The fourth proportional to 9,237.56, 13,905.71 and 8,285 is: 12,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.56 : 13,905.71 = 8,285 : x
  2. Step 2: Convert to fraction form
    9,237.56/13,905.71 = 8,285/x
  3. Step 3: Cross multiply
    9,237.56x = 13,905.71 × 8,285
  4. Step 4: Simplify right side
    9,237.56x = 115,208,807.35
  5. Step 5: Solve for x
    x = 115,208,807.35/9,237.56
  6. Step 6: Final answer
    x = 12,471.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.