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Finding the Fourth Proportional to 37,883, 52,278.54 and 21,116

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Solution

The fourth proportional to 37,883, 52,278.54 and 21,116 is: 29,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,883 : 52,278.54 = 21,116 : x
  2. Step 2: Convert to fraction form
    37,883/52,278.54 = 21,116/x
  3. Step 3: Cross multiply
    37,883x = 52,278.54 × 21,116
  4. Step 4: Simplify right side
    37,883x = 1,103,913,650.64
  5. Step 5: Solve for x
    x = 1,103,913,650.64/37,883
  6. Step 6: Final answer
    x = 29,140.08

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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.