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Finding the Fourth Proportional to 21,010, 31,520.12 and 6,418

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Solution

The fourth proportional to 21,010, 31,520.12 and 6,418 is: 9,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010 : 31,520.12 = 6,418 : x
  2. Step 2: Convert to fraction form
    21,010/31,520.12 = 6,418/x
  3. Step 3: Cross multiply
    21,010x = 31,520.12 × 6,418
  4. Step 4: Simplify right side
    21,010x = 202,296,130.16
  5. Step 5: Solve for x
    x = 202,296,130.16/21,010
  6. Step 6: Final answer
    x = 9,628.56

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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.