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Finding the Fourth Proportional to 5,644.49, 7,785.96 and 3,656.21

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Solution

The fourth proportional to 5,644.49, 7,785.96 and 3,656.21 is: 5,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.49 : 7,785.96 = 3,656.21 : x
  2. Step 2: Convert to fraction form
    5,644.49/7,785.96 = 3,656.21/x
  3. Step 3: Cross multiply
    5,644.49x = 7,785.96 × 3,656.21
  4. Step 4: Simplify right side
    5,644.49x = 28,467,052.17
  5. Step 5: Solve for x
    x = 28,467,052.17/5,644.49
  6. Step 6: Final answer
    x = 5,043.34

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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.