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Finding the Fourth Proportional to 31,003, 46,504.50 and 9,115

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Solution

The fourth proportional to 31,003, 46,504.50 and 9,115 is: 13,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003 : 46,504.50 = 9,115 : x
  2. Step 2: Convert to fraction form
    31,003/46,504.50 = 9,115/x
  3. Step 3: Cross multiply
    31,003x = 46,504.50 × 9,115
  4. Step 4: Simplify right side
    31,003x = 423,888,517.50
  5. Step 5: Solve for x
    x = 423,888,517.50/31,003
  6. Step 6: Final answer
    x = 13,672.50

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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.