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Finding the Fourth Proportional to 5,543.64, 7,648.07 and 3,656.21

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Solution

The fourth proportional to 5,543.64, 7,648.07 and 3,656.21 is: 5,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.64 : 7,648.07 = 3,656.21 : x
  2. Step 2: Convert to fraction form
    5,543.64/7,648.07 = 3,656.21/x
  3. Step 3: Cross multiply
    5,543.64x = 7,648.07 × 3,656.21
  4. Step 4: Simplify right side
    5,543.64x = 27,962,893.49
  5. Step 5: Solve for x
    x = 27,962,893.49/5,543.64
  6. Step 6: Final answer
    x = 5,044.14

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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.