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Finding the Fourth Proportional to 38,013, 52,459.56 and 21,246

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Solution

The fourth proportional to 38,013, 52,459.56 and 21,246 is: 29,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013 : 52,459.56 = 21,246 : x
  2. Step 2: Convert to fraction form
    38,013/52,459.56 = 21,246/x
  3. Step 3: Cross multiply
    38,013x = 52,459.56 × 21,246
  4. Step 4: Simplify right side
    38,013x = 1,114,555,811.76
  5. Step 5: Solve for x
    x = 1,114,555,811.76/38,013
  6. Step 6: Final answer
    x = 29,320.39

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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.