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Finding the Fourth Proportional to 31,510.60, 47,262.06 and 8,135.08

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Solution

The fourth proportional to 31,510.60, 47,262.06 and 8,135.08 is: 12,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.60 : 47,262.06 = 8,135.08 : x
  2. Step 2: Convert to fraction form
    31,510.60/47,262.06 = 8,135.08/x
  3. Step 3: Cross multiply
    31,510.60x = 47,262.06 × 8,135.08
  4. Step 4: Simplify right side
    31,510.60x = 384,480,639.06
  5. Step 5: Solve for x
    x = 384,480,639.06/31,510.60
  6. Step 6: Final answer
    x = 12,201.63

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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.