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Finding the Fourth Proportional to 31,684.80, 47,523.60 and 8,313.06

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Solution

The fourth proportional to 31,684.80, 47,523.60 and 8,313.06 is: 12,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.80 : 47,523.60 = 8,313.06 : x
  2. Step 2: Convert to fraction form
    31,684.80/47,523.60 = 8,313.06/x
  3. Step 3: Cross multiply
    31,684.80x = 47,523.60 × 8,313.06
  4. Step 4: Simplify right side
    31,684.80x = 395,066,538.22
  5. Step 5: Solve for x
    x = 395,066,538.22/31,684.80
  6. Step 6: Final answer
    x = 12,468.65

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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.