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Finding the Fourth Proportional to 19,978.20, 27,565.11 and 12,804.84

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Solution

The fourth proportional to 19,978.20, 27,565.11 and 12,804.84 is: 17,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.20 : 27,565.11 = 12,804.84 : x
  2. Step 2: Convert to fraction form
    19,978.20/27,565.11 = 12,804.84/x
  3. Step 3: Cross multiply
    19,978.20x = 27,565.11 × 12,804.84
  4. Step 4: Simplify right side
    19,978.20x = 352,966,823.13
  5. Step 5: Solve for x
    x = 352,966,823.13/19,978.20
  6. Step 6: Final answer
    x = 17,667.60

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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.