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Finding the Fourth Proportional to 11,018, 15,200.86 and 7,243.24

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Solution

The fourth proportional to 11,018, 15,200.86 and 7,243.24 is: 9,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018 : 15,200.86 = 7,243.24 : x
  2. Step 2: Convert to fraction form
    11,018/15,200.86 = 7,243.24/x
  3. Step 3: Cross multiply
    11,018x = 15,200.86 × 7,243.24
  4. Step 4: Simplify right side
    11,018x = 110,103,477.19
  5. Step 5: Solve for x
    x = 110,103,477.19/11,018
  6. Step 6: Final answer
    x = 9,993.05

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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.