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Finding the Fourth Proportional to 38,052, 52,511.76 and 21,285

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Solution

The fourth proportional to 38,052, 52,511.76 and 21,285 is: 29,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052 : 52,511.76 = 21,285 : x
  2. Step 2: Convert to fraction form
    38,052/52,511.76 = 21,285/x
  3. Step 3: Cross multiply
    38,052x = 52,511.76 × 21,285
  4. Step 4: Simplify right side
    38,052x = 1,117,712,811.60
  5. Step 5: Solve for x
    x = 1,117,712,811.60/38,052
  6. Step 6: Final answer
    x = 29,373.30

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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.