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Finding the Fourth Proportional to 47,812, 65,980.56 and 27,940

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Solution

The fourth proportional to 47,812, 65,980.56 and 27,940 is: 38,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812 : 65,980.56 = 27,940 : x
  2. Step 2: Convert to fraction form
    47,812/65,980.56 = 27,940/x
  3. Step 3: Cross multiply
    47,812x = 65,980.56 × 27,940
  4. Step 4: Simplify right side
    47,812x = 1,843,496,846.40
  5. Step 5: Solve for x
    x = 1,843,496,846.40/47,812
  6. Step 6: Final answer
    x = 38,557.20

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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.