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Finding the Fourth Proportional to 38,478, 53,099.64 and 21,711

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Solution

The fourth proportional to 38,478, 53,099.64 and 21,711 is: 29,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478 : 53,099.64 = 21,711 : x
  2. Step 2: Convert to fraction form
    38,478/53,099.64 = 21,711/x
  3. Step 3: Cross multiply
    38,478x = 53,099.64 × 21,711
  4. Step 4: Simplify right side
    38,478x = 1,152,846,284.04
  5. Step 5: Solve for x
    x = 1,152,846,284.04/38,478
  6. Step 6: Final answer
    x = 29,961.18

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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.