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Finding the Fourth Proportional to 31,161, 46,741.50 and 9,273

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Solution

The fourth proportional to 31,161, 46,741.50 and 9,273 is: 13,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,161 : 46,741.50 = 9,273 : x
  2. Step 2: Convert to fraction form
    31,161/46,741.50 = 9,273/x
  3. Step 3: Cross multiply
    31,161x = 46,741.50 × 9,273
  4. Step 4: Simplify right side
    31,161x = 433,433,929.50
  5. Step 5: Solve for x
    x = 433,433,929.50/31,161
  6. Step 6: Final answer
    x = 13,909.50

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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.