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Finding the Fourth Proportional to 13,817.16, 19,086.98 and 13,305.16

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Solution

The fourth proportional to 13,817.16, 19,086.98 and 13,305.16 is: 18,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.16 : 19,086.98 = 13,305.16 : x
  2. Step 2: Convert to fraction form
    13,817.16/19,086.98 = 13,305.16/x
  3. Step 3: Cross multiply
    13,817.16x = 19,086.98 × 13,305.16
  4. Step 4: Simplify right side
    13,817.16x = 253,955,322.82
  5. Step 5: Solve for x
    x = 253,955,322.82/13,817.16
  6. Step 6: Final answer
    x = 18,379.70

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1.5x scale

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.