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Finding the Fourth Proportional to 3,486.56, 5,230.62 and 1,178

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Solution

The fourth proportional to 3,486.56, 5,230.62 and 1,178 is: 1,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.56 : 5,230.62 = 1,178 : x
  2. Step 2: Convert to fraction form
    3,486.56/5,230.62 = 1,178/x
  3. Step 3: Cross multiply
    3,486.56x = 5,230.62 × 1,178
  4. Step 4: Simplify right side
    3,486.56x = 6,161,670.36
  5. Step 5: Solve for x
    x = 6,161,670.36/3,486.56
  6. Step 6: Final answer
    x = 1,767.26

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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.