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Finding the Fourth Proportional to 47,861, 66,048.18 and 27,989

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Solution

The fourth proportional to 47,861, 66,048.18 and 27,989 is: 38,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,861 : 66,048.18 = 27,989 : x
  2. Step 2: Convert to fraction form
    47,861/66,048.18 = 27,989/x
  3. Step 3: Cross multiply
    47,861x = 66,048.18 × 27,989
  4. Step 4: Simplify right side
    47,861x = 1,848,622,510.02
  5. Step 5: Solve for x
    x = 1,848,622,510.02/47,861
  6. Step 6: Final answer
    x = 38,624.82

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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.