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Finding the Fourth Proportional to 38,435.50, 53,041.80 and 21,668.50

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Solution

The fourth proportional to 38,435.50, 53,041.80 and 21,668.50 is: 29,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,435.50 : 53,041.80 = 21,668.50 : x
  2. Step 2: Convert to fraction form
    38,435.50/53,041.80 = 21,668.50/x
  3. Step 3: Cross multiply
    38,435.50x = 53,041.80 × 21,668.50
  4. Step 4: Simplify right side
    38,435.50x = 1,149,336,243.30
  5. Step 5: Solve for x
    x = 1,149,336,243.30/38,435.50
  6. Step 6: Final answer
    x = 29,902.99

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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.