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Finding the Fourth Proportional to 9,914.30, 13,678.98 and 7,082.54

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Solution

The fourth proportional to 9,914.30, 13,678.98 and 7,082.54 is: 9,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.30 : 13,678.98 = 7,082.54 : x
  2. Step 2: Convert to fraction form
    9,914.30/13,678.98 = 7,082.54/x
  3. Step 3: Cross multiply
    9,914.30x = 13,678.98 × 7,082.54
  4. Step 4: Simplify right side
    9,914.30x = 96,881,923.01
  5. Step 5: Solve for x
    x = 96,881,923.01/9,914.30
  6. Step 6: Final answer
    x = 9,771.94

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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.