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Finding the Fourth Proportional to 3,806.04, 5,702.53 and 3,420.85

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Solution

The fourth proportional to 3,806.04, 5,702.53 and 3,420.85 is: 5,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.04 : 5,702.53 = 3,420.85 : x
  2. Step 2: Convert to fraction form
    3,806.04/5,702.53 = 3,420.85/x
  3. Step 3: Cross multiply
    3,806.04x = 5,702.53 × 3,420.85
  4. Step 4: Simplify right side
    3,806.04x = 19,507,460.37
  5. Step 5: Solve for x
    x = 19,507,460.37/3,806.04
  6. Step 6: Final answer
    x = 5,125.40

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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.