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Finding the Fourth Proportional to 9,687.38, 14,507.99 and 6,728.77

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Solution

The fourth proportional to 9,687.38, 14,507.99 and 6,728.77 is: 10,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.38 : 14,507.99 = 6,728.77 : x
  2. Step 2: Convert to fraction form
    9,687.38/14,507.99 = 6,728.77/x
  3. Step 3: Cross multiply
    9,687.38x = 14,507.99 × 6,728.77
  4. Step 4: Simplify right side
    9,687.38x = 97,620,857.96
  5. Step 5: Solve for x
    x = 97,620,857.96/9,687.38
  6. Step 6: Final answer
    x = 10,077.12

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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.