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Finding the Fourth Proportional to 14,710.75, 20,300.84 and 8,086.75

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Solution

The fourth proportional to 14,710.75, 20,300.84 and 8,086.75 is: 11,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.75 : 20,300.84 = 8,086.75 : x
  2. Step 2: Convert to fraction form
    14,710.75/20,300.84 = 8,086.75/x
  3. Step 3: Cross multiply
    14,710.75x = 20,300.84 × 8,086.75
  4. Step 4: Simplify right side
    14,710.75x = 164,167,817.87
  5. Step 5: Solve for x
    x = 164,167,817.87/14,710.75
  6. Step 6: Final answer
    x = 11,159.72

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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.