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Finding the Fourth Proportional to 9,896.20, 13,656.78 and 5,358.93

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Solution

The fourth proportional to 9,896.20, 13,656.78 and 5,358.93 is: 7,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.20 : 13,656.78 = 5,358.93 : x
  2. Step 2: Convert to fraction form
    9,896.20/13,656.78 = 5,358.93/x
  3. Step 3: Cross multiply
    9,896.20x = 13,656.78 × 5,358.93
  4. Step 4: Simplify right side
    9,896.20x = 73,185,719.38
  5. Step 5: Solve for x
    x = 73,185,719.38/9,896.20
  6. Step 6: Final answer
    x = 7,395.34

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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.