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Finding the Fourth Proportional to 31,138.46, 46,702.68 and 8,946.80

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Solution

The fourth proportional to 31,138.46, 46,702.68 and 8,946.80 is: 13,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.46 : 46,702.68 = 8,946.80 : x
  2. Step 2: Convert to fraction form
    31,138.46/46,702.68 = 8,946.80/x
  3. Step 3: Cross multiply
    31,138.46x = 46,702.68 × 8,946.80
  4. Step 4: Simplify right side
    31,138.46x = 417,839,537.42
  5. Step 5: Solve for x
    x = 417,839,537.42/31,138.46
  6. Step 6: Final answer
    x = 13,418.76

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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.