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Finding the Fourth Proportional to 36,921.32, 55,381.97 and 9,219.32

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Solution

The fourth proportional to 36,921.32, 55,381.97 and 9,219.32 is: 13,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,921.32 : 55,381.97 = 9,219.32 : x
  2. Step 2: Convert to fraction form
    36,921.32/55,381.97 = 9,219.32/x
  3. Step 3: Cross multiply
    36,921.32x = 55,381.97 × 9,219.32
  4. Step 4: Simplify right side
    36,921.32x = 510,583,826.75
  5. Step 5: Solve for x
    x = 510,583,826.75/36,921.32
  6. Step 6: Final answer
    x = 13,828.97

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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.