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Finding the Fourth Proportional to 3,486.78, 5,230.16 and 889.72

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Solution

The fourth proportional to 3,486.78, 5,230.16 and 889.72 is: 1,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.78 : 5,230.16 = 889.72 : x
  2. Step 2: Convert to fraction form
    3,486.78/5,230.16 = 889.72/x
  3. Step 3: Cross multiply
    3,486.78x = 5,230.16 × 889.72
  4. Step 4: Simplify right side
    3,486.78x = 4,653,367.10
  5. Step 5: Solve for x
    x = 4,653,367.10/3,486.78
  6. Step 6: Final answer
    x = 1,334.57

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1.5x scale

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.