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Finding the Fourth Proportional to 21,213, 31,834.11 and 7,362

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Solution

The fourth proportional to 21,213, 31,834.11 and 7,362 is: 11,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213 : 31,834.11 = 7,362 : x
  2. Step 2: Convert to fraction form
    21,213/31,834.11 = 7,362/x
  3. Step 3: Cross multiply
    21,213x = 31,834.11 × 7,362
  4. Step 4: Simplify right side
    21,213x = 234,362,717.82
  5. Step 5: Solve for x
    x = 234,362,717.82/21,213
  6. Step 6: Final answer
    x = 11,048.07

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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.