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Finding the Fourth Proportional to 31,693.64, 47,538.54 and 8,319.56

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Solution

The fourth proportional to 31,693.64, 47,538.54 and 8,319.56 is: 12,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.64 : 47,538.54 = 8,319.56 : x
  2. Step 2: Convert to fraction form
    31,693.64/47,538.54 = 8,319.56/x
  3. Step 3: Cross multiply
    31,693.64x = 47,538.54 × 8,319.56
  4. Step 4: Simplify right side
    31,693.64x = 395,499,735.84
  5. Step 5: Solve for x
    x = 395,499,735.84/31,693.64
  6. Step 6: Final answer
    x = 12,478.84

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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.