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Finding the Fourth Proportional to 13,978.64, 19,293 and 8,390

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Solution

The fourth proportional to 13,978.64, 19,293 and 8,390 is: 11,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.64 : 19,293 = 8,390 : x
  2. Step 2: Convert to fraction form
    13,978.64/19,293 = 8,390/x
  3. Step 3: Cross multiply
    13,978.64x = 19,293 × 8,390
  4. Step 4: Simplify right side
    13,978.64x = 161,868,270
  5. Step 5: Solve for x
    x = 161,868,270/13,978.64
  6. Step 6: Final answer
    x = 11,579.69

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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.