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Finding the Fourth Proportional to 17,787, 26,680.50 and 5,475

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Solution

The fourth proportional to 17,787, 26,680.50 and 5,475 is: 8,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787 : 26,680.50 = 5,475 : x
  2. Step 2: Convert to fraction form
    17,787/26,680.50 = 5,475/x
  3. Step 3: Cross multiply
    17,787x = 26,680.50 × 5,475
  4. Step 4: Simplify right side
    17,787x = 146,075,737.50
  5. Step 5: Solve for x
    x = 146,075,737.50/17,787
  6. Step 6: Final answer
    x = 8,212.50

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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.