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Finding the Fourth Proportional to 9,896.73, 13,658.78 and 5,646.81

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Solution

The fourth proportional to 9,896.73, 13,658.78 and 5,646.81 is: 7,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.73 : 13,658.78 = 5,646.81 : x
  2. Step 2: Convert to fraction form
    9,896.73/13,658.78 = 5,646.81/x
  3. Step 3: Cross multiply
    9,896.73x = 13,658.78 × 5,646.81
  4. Step 4: Simplify right side
    9,896.73x = 77,128,507.26
  5. Step 5: Solve for x
    x = 77,128,507.26/9,896.73
  6. Step 6: Final answer
    x = 7,793.33

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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.