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Finding the Fourth Proportional to 31,644.76, 47,465.52 and 8,270.32

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Solution

The fourth proportional to 31,644.76, 47,465.52 and 8,270.32 is: 12,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.76 : 47,465.52 = 8,270.32 : x
  2. Step 2: Convert to fraction form
    31,644.76/47,465.52 = 8,270.32/x
  3. Step 3: Cross multiply
    31,644.76x = 47,465.52 × 8,270.32
  4. Step 4: Simplify right side
    31,644.76x = 392,555,039.37
  5. Step 5: Solve for x
    x = 392,555,039.37/31,644.76
  6. Step 6: Final answer
    x = 12,405.06

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1.5x scale

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.