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Finding the Fourth Proportional to 20,196, 27,860.76 and 12,539.88

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Solution

The fourth proportional to 20,196, 27,860.76 and 12,539.88 is: 17,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 27,860.76 = 12,539.88 : x
  2. Step 2: Convert to fraction form
    20,196/27,860.76 = 12,539.88/x
  3. Step 3: Cross multiply
    20,196x = 27,860.76 × 12,539.88
  4. Step 4: Simplify right side
    20,196x = 349,370,587.11
  5. Step 5: Solve for x
    x = 349,370,587.11/20,196
  6. Step 6: Final answer
    x = 17,299.00

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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.