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Finding the Fourth Proportional to 9,891.50, 13,650.27 and 5,475.50

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Solution

The fourth proportional to 9,891.50, 13,650.27 and 5,475.50 is: 7,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.50 : 13,650.27 = 5,475.50 : x
  2. Step 2: Convert to fraction form
    9,891.50/13,650.27 = 5,475.50/x
  3. Step 3: Cross multiply
    9,891.50x = 13,650.27 × 5,475.50
  4. Step 4: Simplify right side
    9,891.50x = 74,742,053.39
  5. Step 5: Solve for x
    x = 74,742,053.39/9,891.50
  6. Step 6: Final answer
    x = 7,556.19

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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.