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Finding the Fourth Proportional to 5,617.96, 7,696.52 and 5,407.64

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Solution

The fourth proportional to 5,617.96, 7,696.52 and 5,407.64 is: 7,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.96 : 7,696.52 = 5,407.64 : x
  2. Step 2: Convert to fraction form
    5,617.96/7,696.52 = 5,407.64/x
  3. Step 3: Cross multiply
    5,617.96x = 7,696.52 × 5,407.64
  4. Step 4: Simplify right side
    5,617.96x = 41,619,971.39
  5. Step 5: Solve for x
    x = 41,619,971.39/5,617.96
  6. Step 6: Final answer
    x = 7,408.38

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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.