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Finding the Fourth Proportional to 13,978.14, 19,283.40 and 8,939.84

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Solution

The fourth proportional to 13,978.14, 19,283.40 and 8,939.84 is: 12,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.14 : 19,283.40 = 8,939.84 : x
  2. Step 2: Convert to fraction form
    13,978.14/19,283.40 = 8,939.84/x
  3. Step 3: Cross multiply
    13,978.14x = 19,283.40 × 8,939.84
  4. Step 4: Simplify right side
    13,978.14x = 172,390,510.66
  5. Step 5: Solve for x
    x = 172,390,510.66/13,978.14
  6. Step 6: Final answer
    x = 12,332.86

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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.