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Finding the Fourth Proportional to 6,102, 8,420.40 and 3,376.37

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Solution

The fourth proportional to 6,102, 8,420.40 and 3,376.37 is: 4,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 8,420.40 = 3,376.37 : x
  2. Step 2: Convert to fraction form
    6,102/8,420.40 = 3,376.37/x
  3. Step 3: Cross multiply
    6,102x = 8,420.40 × 3,376.37
  4. Step 4: Simplify right side
    6,102x = 28,430,385.95
  5. Step 5: Solve for x
    x = 28,430,385.95/6,102
  6. Step 6: Final answer
    x = 4,659.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.