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Finding the Fourth Proportional to 7,071.93, 9,756.54 and 5,391.60

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Solution

The fourth proportional to 7,071.93, 9,756.54 and 5,391.60 is: 7,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.93 : 9,756.54 = 5,391.60 : x
  2. Step 2: Convert to fraction form
    7,071.93/9,756.54 = 5,391.60/x
  3. Step 3: Cross multiply
    7,071.93x = 9,756.54 × 5,391.60
  4. Step 4: Simplify right side
    7,071.93x = 52,603,361.06
  5. Step 5: Solve for x
    x = 52,603,361.06/7,071.93
  6. Step 6: Final answer
    x = 7,438.33

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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.