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Finding the Fourth Proportional to 14,378.16, 19,842 and 8,004.84

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Solution

The fourth proportional to 14,378.16, 19,842 and 8,004.84 is: 11,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.16 : 19,842 = 8,004.84 : x
  2. Step 2: Convert to fraction form
    14,378.16/19,842 = 8,004.84/x
  3. Step 3: Cross multiply
    14,378.16x = 19,842 × 8,004.84
  4. Step 4: Simplify right side
    14,378.16x = 158,832,035.28
  5. Step 5: Solve for x
    x = 158,832,035.28/14,378.16
  6. Step 6: Final answer
    x = 11,046.76

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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.