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Finding the Fourth Proportional to 17,985, 26,982.84 and 9,226.08

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Solution

The fourth proportional to 17,985, 26,982.84 and 9,226.08 is: 13,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985 : 26,982.84 = 9,226.08 : x
  2. Step 2: Convert to fraction form
    17,985/26,982.84 = 9,226.08/x
  3. Step 3: Cross multiply
    17,985x = 26,982.84 × 9,226.08
  4. Step 4: Simplify right side
    17,985x = 248,945,840.47
  5. Step 5: Solve for x
    x = 248,945,840.47/17,985
  6. Step 6: Final answer
    x = 13,841.86

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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.