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Finding the Fourth Proportional to 31,460.64, 47,192.64 and 8,087.28

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Solution

The fourth proportional to 31,460.64, 47,192.64 and 8,087.28 is: 12,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.64 : 47,192.64 = 8,087.28 : x
  2. Step 2: Convert to fraction form
    31,460.64/47,192.64 = 8,087.28/x
  3. Step 3: Cross multiply
    31,460.64x = 47,192.64 × 8,087.28
  4. Step 4: Simplify right side
    31,460.64x = 381,660,093.62
  5. Step 5: Solve for x
    x = 381,660,093.62/31,460.64
  6. Step 6: Final answer
    x = 12,131.35

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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.