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Finding the Fourth Proportional to 38,536, 53,184 and 21,770.08

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Solution

The fourth proportional to 38,536, 53,184 and 21,770.08 is: 30,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536 : 53,184 = 21,770.08 : x
  2. Step 2: Convert to fraction form
    38,536/53,184 = 21,770.08/x
  3. Step 3: Cross multiply
    38,536x = 53,184 × 21,770.08
  4. Step 4: Simplify right side
    38,536x = 1,157,819,934.72
  5. Step 5: Solve for x
    x = 1,157,819,934.72/38,536
  6. Step 6: Final answer
    x = 30,045.15

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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.