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Finding the Fourth Proportional to 38,632.42, 53,303.61 and 21,865.42

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Solution

The fourth proportional to 38,632.42, 53,303.61 and 21,865.42 is: 30,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632.42 : 53,303.61 = 21,865.42 : x
  2. Step 2: Convert to fraction form
    38,632.42/53,303.61 = 21,865.42/x
  3. Step 3: Cross multiply
    38,632.42x = 53,303.61 × 21,865.42
  4. Step 4: Simplify right side
    38,632.42x = 1,165,505,844.10
  5. Step 5: Solve for x
    x = 1,165,505,844.10/38,632.42
  6. Step 6: Final answer
    x = 30,169.11

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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.