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Finding the Fourth Proportional to 9,997.94, 14,980.49 and 3,420.54

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Solution

The fourth proportional to 9,997.94, 14,980.49 and 3,420.54 is: 5,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.94 : 14,980.49 = 3,420.54 : x
  2. Step 2: Convert to fraction form
    9,997.94/14,980.49 = 3,420.54/x
  3. Step 3: Cross multiply
    9,997.94x = 14,980.49 × 3,420.54
  4. Step 4: Simplify right side
    9,997.94x = 51,241,365.26
  5. Step 5: Solve for x
    x = 51,241,365.26/9,997.94
  6. Step 6: Final answer
    x = 5,125.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.