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Finding the Fourth Proportional to 17,490, 26,239.44 and 5,178

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Solution

The fourth proportional to 17,490, 26,239.44 and 5,178 is: 7,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490 : 26,239.44 = 5,178 : x
  2. Step 2: Convert to fraction form
    17,490/26,239.44 = 5,178/x
  3. Step 3: Cross multiply
    17,490x = 26,239.44 × 5,178
  4. Step 4: Simplify right side
    17,490x = 135,867,820.32
  5. Step 5: Solve for x
    x = 135,867,820.32/17,490
  6. Step 6: Final answer
    x = 7,768.31

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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.