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Finding the Fourth Proportional to 31,002, 46,503 and 9,114

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Solution

The fourth proportional to 31,002, 46,503 and 9,114 is: 13,671

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002 : 46,503 = 9,114 : x
  2. Step 2: Convert to fraction form
    31,002/46,503 = 9,114/x
  3. Step 3: Cross multiply
    31,002x = 46,503 × 9,114
  4. Step 4: Simplify right side
    31,002x = 423,828,342
  5. Step 5: Solve for x
    x = 423,828,342/31,002
  6. Step 6: Final answer
    x = 13,671

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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.