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Finding the Fourth Proportional to 31,138.88, 46,708.34 and 12,670.88

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Solution

The fourth proportional to 31,138.88, 46,708.34 and 12,670.88 is: 19,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.88 : 46,708.34 = 12,670.88 : x
  2. Step 2: Convert to fraction form
    31,138.88/46,708.34 = 12,670.88/x
  3. Step 3: Cross multiply
    31,138.88x = 46,708.34 × 12,670.88
  4. Step 4: Simplify right side
    31,138.88x = 591,835,474.24
  5. Step 5: Solve for x
    x = 591,835,474.24/31,138.88
  6. Step 6: Final answer
    x = 19,006.32

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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.