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Finding the Fourth Proportional to 21,892, 30,210.99 and 12,460.57

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Solution

The fourth proportional to 21,892, 30,210.99 and 12,460.57 is: 17,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892 : 30,210.99 = 12,460.57 : x
  2. Step 2: Convert to fraction form
    21,892/30,210.99 = 12,460.57/x
  3. Step 3: Cross multiply
    21,892x = 30,210.99 × 12,460.57
  4. Step 4: Simplify right side
    21,892x = 376,446,155.66
  5. Step 5: Solve for x
    x = 376,446,155.66/21,892
  6. Step 6: Final answer
    x = 17,195.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.