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Finding the Fourth Proportional to 3,677.64, 5,080.30 and 3,345.48

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Solution

The fourth proportional to 3,677.64, 5,080.30 and 3,345.48 is: 4,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.64 : 5,080.30 = 3,345.48 : x
  2. Step 2: Convert to fraction form
    3,677.64/5,080.30 = 3,345.48/x
  3. Step 3: Cross multiply
    3,677.64x = 5,080.30 × 3,345.48
  4. Step 4: Simplify right side
    3,677.64x = 16,996,042.04
  5. Step 5: Solve for x
    x = 16,996,042.04/3,677.64
  6. Step 6: Final answer
    x = 4,621.45

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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.