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Finding the Fourth Proportional to 10,998.63, 15,174.61 and 6,745.32

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Solution

The fourth proportional to 10,998.63, 15,174.61 and 6,745.32 is: 9,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.63 : 15,174.61 = 6,745.32 : x
  2. Step 2: Convert to fraction form
    10,998.63/15,174.61 = 6,745.32/x
  3. Step 3: Cross multiply
    10,998.63x = 15,174.61 × 6,745.32
  4. Step 4: Simplify right side
    10,998.63x = 102,357,583.46
  5. Step 5: Solve for x
    x = 102,357,583.46/10,998.63
  6. Step 6: Final answer
    x = 9,306.39

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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.