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Finding the Fourth Proportional to 3,689.72, 5,070.84 and 3,320.64

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Solution

The fourth proportional to 3,689.72, 5,070.84 and 3,320.64 is: 4,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.72 : 5,070.84 = 3,320.64 : x
  2. Step 2: Convert to fraction form
    3,689.72/5,070.84 = 3,320.64/x
  3. Step 3: Cross multiply
    3,689.72x = 5,070.84 × 3,320.64
  4. Step 4: Simplify right side
    3,689.72x = 16,838,434.14
  5. Step 5: Solve for x
    x = 16,838,434.14/3,689.72
  6. Step 6: Final answer
    x = 4,563.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.