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Finding the Fourth Proportional to 21,497.65, 29,667.60 and 12,422.71

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Solution

The fourth proportional to 21,497.65, 29,667.60 and 12,422.71 is: 17,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.65 : 29,667.60 = 12,422.71 : x
  2. Step 2: Convert to fraction form
    21,497.65/29,667.60 = 12,422.71/x
  3. Step 3: Cross multiply
    21,497.65x = 29,667.60 × 12,422.71
  4. Step 4: Simplify right side
    21,497.65x = 368,551,842.86
  5. Step 5: Solve for x
    x = 368,551,842.86/21,497.65
  6. Step 6: Final answer
    x = 17,143.82

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