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Finding the Fourth Proportional to 38,046, 52,503.66 and 21,279

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Solution

The fourth proportional to 38,046, 52,503.66 and 21,279 is: 29,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046 : 52,503.66 = 21,279 : x
  2. Step 2: Convert to fraction form
    38,046/52,503.66 = 21,279/x
  3. Step 3: Cross multiply
    38,046x = 52,503.66 × 21,279
  4. Step 4: Simplify right side
    38,046x = 1,117,225,381.14
  5. Step 5: Solve for x
    x = 1,117,225,381.14/38,046
  6. Step 6: Final answer
    x = 29,365.12

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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.