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Finding the Fourth Proportional to 6,998.45, 9,647.78 and 5,005.54

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Solution

The fourth proportional to 6,998.45, 9,647.78 and 5,005.54 is: 6,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.45 : 9,647.78 = 5,005.54 : x
  2. Step 2: Convert to fraction form
    6,998.45/9,647.78 = 5,005.54/x
  3. Step 3: Cross multiply
    6,998.45x = 9,647.78 × 5,005.54
  4. Step 4: Simplify right side
    6,998.45x = 48,292,337.10
  5. Step 5: Solve for x
    x = 48,292,337.10/6,998.45
  6. Step 6: Final answer
    x = 6,900.44

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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.