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Finding the Fourth Proportional to 31,328, 46,992 and 9,440

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Solution

The fourth proportional to 31,328, 46,992 and 9,440 is: 14,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328 : 46,992 = 9,440 : x
  2. Step 2: Convert to fraction form
    31,328/46,992 = 9,440/x
  3. Step 3: Cross multiply
    31,328x = 46,992 × 9,440
  4. Step 4: Simplify right side
    31,328x = 443,604,480
  5. Step 5: Solve for x
    x = 443,604,480/31,328
  6. Step 6: Final answer
    x = 14,160

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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.