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Finding the Fourth Proportional to 3,903.52, 5,384.84 and 2,644.64

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Solution

The fourth proportional to 3,903.52, 5,384.84 and 2,644.64 is: 3,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.52 : 5,384.84 = 2,644.64 : x
  2. Step 2: Convert to fraction form
    3,903.52/5,384.84 = 2,644.64/x
  3. Step 3: Cross multiply
    3,903.52x = 5,384.84 × 2,644.64
  4. Step 4: Simplify right side
    3,903.52x = 14,240,963.26
  5. Step 5: Solve for x
    x = 14,240,963.26/3,903.52
  6. Step 6: Final answer
    x = 3,648.24

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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.