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Finding the Fourth Proportional to 3,539.66, 4,884.81 and 1,946.32

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Solution

The fourth proportional to 3,539.66, 4,884.81 and 1,946.32 is: 2,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.66 : 4,884.81 = 1,946.32 : x
  2. Step 2: Convert to fraction form
    3,539.66/4,884.81 = 1,946.32/x
  3. Step 3: Cross multiply
    3,539.66x = 4,884.81 × 1,946.32
  4. Step 4: Simplify right side
    3,539.66x = 9,507,389.34
  5. Step 5: Solve for x
    x = 9,507,389.34/3,539.66
  6. Step 6: Final answer
    x = 2,685.96

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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.