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Finding the Fourth Proportional to 18,644.30, 27,970.83 and 6,164.32

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Solution

The fourth proportional to 18,644.30, 27,970.83 and 6,164.32 is: 9,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.30 : 27,970.83 = 6,164.32 : x
  2. Step 2: Convert to fraction form
    18,644.30/27,970.83 = 6,164.32/x
  3. Step 3: Cross multiply
    18,644.30x = 27,970.83 × 6,164.32
  4. Step 4: Simplify right side
    18,644.30x = 172,421,146.79
  5. Step 5: Solve for x
    x = 172,421,146.79/18,644.30
  6. Step 6: Final answer
    x = 9,247.93

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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.