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Finding the Fourth Proportional to 31,383.12, 47,076 and 8,010.24

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Solution

The fourth proportional to 31,383.12, 47,076 and 8,010.24 is: 12,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.12 : 47,076 = 8,010.24 : x
  2. Step 2: Convert to fraction form
    31,383.12/47,076 = 8,010.24/x
  3. Step 3: Cross multiply
    31,383.12x = 47,076 × 8,010.24
  4. Step 4: Simplify right side
    31,383.12x = 377,090,058.24
  5. Step 5: Solve for x
    x = 377,090,058.24/31,383.12
  6. Step 6: Final answer
    x = 12,015.70

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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.