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Finding the Fourth Proportional to 31,405.60, 47,108.40 and 27,906.40

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Solution

The fourth proportional to 31,405.60, 47,108.40 and 27,906.40 is: 41,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.60 : 47,108.40 = 27,906.40 : x
  2. Step 2: Convert to fraction form
    31,405.60/47,108.40 = 27,906.40/x
  3. Step 3: Cross multiply
    31,405.60x = 47,108.40 × 27,906.40
  4. Step 4: Simplify right side
    31,405.60x = 1,314,625,853.76
  5. Step 5: Solve for x
    x = 1,314,625,853.76/31,405.60
  6. Step 6: Final answer
    x = 41,859.60

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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.