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Finding the Fourth Proportional to 3,927.90, 5,890 and 1,153.86

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Solution

The fourth proportional to 3,927.90, 5,890 and 1,153.86 is: 1,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.90 : 5,890 = 1,153.86 : x
  2. Step 2: Convert to fraction form
    3,927.90/5,890 = 1,153.86/x
  3. Step 3: Cross multiply
    3,927.90x = 5,890 × 1,153.86
  4. Step 4: Simplify right side
    3,927.90x = 6,796,235.40
  5. Step 5: Solve for x
    x = 6,796,235.40/3,927.90
  6. Step 6: Final answer
    x = 1,730.25

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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.