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Finding the Fourth Proportional to 2,165.63, 3,247.28 and 684.58

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Solution

The fourth proportional to 2,165.63, 3,247.28 and 684.58 is: 1,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.63 : 3,247.28 = 684.58 : x
  2. Step 2: Convert to fraction form
    2,165.63/3,247.28 = 684.58/x
  3. Step 3: Cross multiply
    2,165.63x = 3,247.28 × 684.58
  4. Step 4: Simplify right side
    2,165.63x = 2,223,022.94
  5. Step 5: Solve for x
    x = 2,223,022.94/2,165.63
  6. Step 6: Final answer
    x = 1,026.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.