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Finding the Fourth Proportional to 5,670.81, 7,822.85 and 3,682.47

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Solution

The fourth proportional to 5,670.81, 7,822.85 and 3,682.47 is: 5,079.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.81 : 7,822.85 = 3,682.47 : x
  2. Step 2: Convert to fraction form
    5,670.81/7,822.85 = 3,682.47/x
  3. Step 3: Cross multiply
    5,670.81x = 7,822.85 × 3,682.47
  4. Step 4: Simplify right side
    5,670.81x = 28,807,392.03
  5. Step 5: Solve for x
    x = 28,807,392.03/5,670.81
  6. Step 6: Final answer
    x = 5,079.94

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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.