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Finding the Fourth Proportional to 17,955, 24,777.40 and 9,997.22

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Solution

The fourth proportional to 17,955, 24,777.40 and 9,997.22 is: 13,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955 : 24,777.40 = 9,997.22 : x
  2. Step 2: Convert to fraction form
    17,955/24,777.40 = 9,997.22/x
  3. Step 3: Cross multiply
    17,955x = 24,777.40 × 9,997.22
  4. Step 4: Simplify right side
    17,955x = 247,705,118.83
  5. Step 5: Solve for x
    x = 247,705,118.83/17,955
  6. Step 6: Final answer
    x = 13,795.89

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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.