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Finding the Fourth Proportional to 37,887, 52,285.68 and 21,120

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Solution

The fourth proportional to 37,887, 52,285.68 and 21,120 is: 29,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,887 : 52,285.68 = 21,120 : x
  2. Step 2: Convert to fraction form
    37,887/52,285.68 = 21,120/x
  3. Step 3: Cross multiply
    37,887x = 52,285.68 × 21,120
  4. Step 4: Simplify right side
    37,887x = 1,104,273,561.60
  5. Step 5: Solve for x
    x = 1,104,273,561.60/37,887
  6. Step 6: Final answer
    x = 29,146.50

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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.