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Finding the Fourth Proportional to 5,670.64, 7,822.93 and 3,311.38

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Solution

The fourth proportional to 5,670.64, 7,822.93 and 3,311.38 is: 4,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.64 : 7,822.93 = 3,311.38 : x
  2. Step 2: Convert to fraction form
    5,670.64/7,822.93 = 3,311.38/x
  3. Step 3: Cross multiply
    5,670.64x = 7,822.93 × 3,311.38
  4. Step 4: Simplify right side
    5,670.64x = 25,904,646.55
  5. Step 5: Solve for x
    x = 25,904,646.55/5,670.64
  6. Step 6: Final answer
    x = 4,568.21

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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.