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Finding the Fourth Proportional to 3,420.92, 4,719.84 and 2,094.32

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Solution

The fourth proportional to 3,420.92, 4,719.84 and 2,094.32 is: 2,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.92 : 4,719.84 = 2,094.32 : x
  2. Step 2: Convert to fraction form
    3,420.92/4,719.84 = 2,094.32/x
  3. Step 3: Cross multiply
    3,420.92x = 4,719.84 × 2,094.32
  4. Step 4: Simplify right side
    3,420.92x = 9,884,855.31
  5. Step 5: Solve for x
    x = 9,884,855.31/3,420.92
  6. Step 6: Final answer
    x = 2,889.53

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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.