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Finding the Fourth Proportional to 38,152, 52,649.76 and 21,385

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Solution

The fourth proportional to 38,152, 52,649.76 and 21,385 is: 29,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,152 : 52,649.76 = 21,385 : x
  2. Step 2: Convert to fraction form
    38,152/52,649.76 = 21,385/x
  3. Step 3: Cross multiply
    38,152x = 52,649.76 × 21,385
  4. Step 4: Simplify right side
    38,152x = 1,125,915,117.60
  5. Step 5: Solve for x
    x = 1,125,915,117.60/38,152
  6. Step 6: Final answer
    x = 29,511.30

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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.