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Finding the Fourth Proportional to 3,490.75, 5,235.72 and 893.71

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Solution

The fourth proportional to 3,490.75, 5,235.72 and 893.71 is: 1,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.75 : 5,235.72 = 893.71 : x
  2. Step 2: Convert to fraction form
    3,490.75/5,235.72 = 893.71/x
  3. Step 3: Cross multiply
    3,490.75x = 5,235.72 × 893.71
  4. Step 4: Simplify right side
    3,490.75x = 4,679,215.32
  5. Step 5: Solve for x
    x = 4,679,215.32/3,490.75
  6. Step 6: Final answer
    x = 1,340.46

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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.