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Finding the Fourth Proportional to 31,879.95, 47,821.64 and 9,694.05

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Solution

The fourth proportional to 31,879.95, 47,821.64 and 9,694.05 is: 14,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.95 : 47,821.64 = 9,694.05 : x
  2. Step 2: Convert to fraction form
    31,879.95/47,821.64 = 9,694.05/x
  3. Step 3: Cross multiply
    31,879.95x = 47,821.64 × 9,694.05
  4. Step 4: Simplify right side
    31,879.95x = 463,585,320.77
  5. Step 5: Solve for x
    x = 463,585,320.77/31,879.95
  6. Step 6: Final answer
    x = 14,541.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.