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Finding the Fourth Proportional to 5,878, 8,817.36 and 1,774

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Solution

The fourth proportional to 5,878, 8,817.36 and 1,774 is: 2,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878 : 8,817.36 = 1,774 : x
  2. Step 2: Convert to fraction form
    5,878/8,817.36 = 1,774/x
  3. Step 3: Cross multiply
    5,878x = 8,817.36 × 1,774
  4. Step 4: Simplify right side
    5,878x = 15,641,996.64
  5. Step 5: Solve for x
    x = 15,641,996.64/5,878
  6. Step 6: Final answer
    x = 2,661.11

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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.