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Finding the Fourth Proportional to 21,194.61, 31,798.59 and 13,302.61

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Solution

The fourth proportional to 21,194.61, 31,798.59 and 13,302.61 is: 19,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.61 : 31,798.59 = 13,302.61 : x
  2. Step 2: Convert to fraction form
    21,194.61/31,798.59 = 13,302.61/x
  3. Step 3: Cross multiply
    21,194.61x = 31,798.59 × 13,302.61
  4. Step 4: Simplify right side
    21,194.61x = 423,004,330.95
  5. Step 5: Solve for x
    x = 423,004,330.95/21,194.61
  6. Step 6: Final answer
    x = 19,958.11

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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.