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Finding the Fourth Proportional to 13,863.66, 19,145.84 and 8,830.14

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Solution

The fourth proportional to 13,863.66, 19,145.84 and 8,830.14 is: 12,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.66 : 19,145.84 = 8,830.14 : x
  2. Step 2: Convert to fraction form
    13,863.66/19,145.84 = 8,830.14/x
  3. Step 3: Cross multiply
    13,863.66x = 19,145.84 × 8,830.14
  4. Step 4: Simplify right side
    13,863.66x = 169,060,403.47
  5. Step 5: Solve for x
    x = 169,060,403.47/13,863.66
  6. Step 6: Final answer
    x = 12,194.50

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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.