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Finding the Fourth Proportional to 9,887.14, 14,827.80 and 3,311.80

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Solution

The fourth proportional to 9,887.14, 14,827.80 and 3,311.80 is: 4,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.14 : 14,827.80 = 3,311.80 : x
  2. Step 2: Convert to fraction form
    9,887.14/14,827.80 = 3,311.80/x
  3. Step 3: Cross multiply
    9,887.14x = 14,827.80 × 3,311.80
  4. Step 4: Simplify right side
    9,887.14x = 49,106,708.04
  5. Step 5: Solve for x
    x = 49,106,708.04/9,887.14
  6. Step 6: Final answer
    x = 4,966.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.