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Finding the Fourth Proportional to 13,952.86, 19,254.92 and 7,984.64

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Solution

The fourth proportional to 13,952.86, 19,254.92 and 7,984.64 is: 11,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.86 : 19,254.92 = 7,984.64 : x
  2. Step 2: Convert to fraction form
    13,952.86/19,254.92 = 7,984.64/x
  3. Step 3: Cross multiply
    13,952.86x = 19,254.92 × 7,984.64
  4. Step 4: Simplify right side
    13,952.86x = 153,743,612.64
  5. Step 5: Solve for x
    x = 153,743,612.64/13,952.86
  6. Step 6: Final answer
    x = 11,018.79

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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.