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Finding the Fourth Proportional to 31,991.02, 47,981.10 and 8,612.26

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Solution

The fourth proportional to 31,991.02, 47,981.10 and 8,612.26 is: 12,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.02 : 47,981.10 = 8,612.26 : x
  2. Step 2: Convert to fraction form
    31,991.02/47,981.10 = 8,612.26/x
  3. Step 3: Cross multiply
    31,991.02x = 47,981.10 × 8,612.26
  4. Step 4: Simplify right side
    31,991.02x = 413,225,708.29
  5. Step 5: Solve for x
    x = 413,225,708.29/31,991.02
  6. Step 6: Final answer
    x = 12,916.93

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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.