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Finding the Fourth Proportional to 17,757, 26,635.50 and 5,445

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Solution

The fourth proportional to 17,757, 26,635.50 and 5,445 is: 8,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757 : 26,635.50 = 5,445 : x
  2. Step 2: Convert to fraction form
    17,757/26,635.50 = 5,445/x
  3. Step 3: Cross multiply
    17,757x = 26,635.50 × 5,445
  4. Step 4: Simplify right side
    17,757x = 145,030,297.50
  5. Step 5: Solve for x
    x = 145,030,297.50/17,757
  6. Step 6: Final answer
    x = 8,167.50

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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.