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Finding the Fourth Proportional to 31,894.57, 47,842.29 and 12,174.19

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Solution

The fourth proportional to 31,894.57, 47,842.29 and 12,174.19 is: 18,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.57 : 47,842.29 = 12,174.19 : x
  2. Step 2: Convert to fraction form
    31,894.57/47,842.29 = 12,174.19/x
  3. Step 3: Cross multiply
    31,894.57x = 47,842.29 × 12,174.19
  4. Step 4: Simplify right side
    31,894.57x = 582,441,128.50
  5. Step 5: Solve for x
    x = 582,441,128.50/31,894.57
  6. Step 6: Final answer
    x = 18,261.45

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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.