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Finding the Fourth Proportional to 6,940, 10,411.35 and 3,477.25

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Solution

The fourth proportional to 6,940, 10,411.35 and 3,477.25 is: 5,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 10,411.35 = 3,477.25 : x
  2. Step 2: Convert to fraction form
    6,940/10,411.35 = 3,477.25/x
  3. Step 3: Cross multiply
    6,940x = 10,411.35 × 3,477.25
  4. Step 4: Simplify right side
    6,940x = 36,202,866.79
  5. Step 5: Solve for x
    x = 36,202,866.79/6,940
  6. Step 6: Final answer
    x = 5,216.55

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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.