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Finding the Fourth Proportional to 3,490, 5,235.10 and 892.94

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Solution

The fourth proportional to 3,490, 5,235.10 and 892.94 is: 1,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490 : 5,235.10 = 892.94 : x
  2. Step 2: Convert to fraction form
    3,490/5,235.10 = 892.94/x
  3. Step 3: Cross multiply
    3,490x = 5,235.10 × 892.94
  4. Step 4: Simplify right side
    3,490x = 4,674,630.19
  5. Step 5: Solve for x
    x = 4,674,630.19/3,490
  6. Step 6: Final answer
    x = 1,339.44

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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.