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Finding the Fourth Proportional to 5,670.40, 7,824.90 and 3,186.40

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Solution

The fourth proportional to 5,670.40, 7,824.90 and 3,186.40 is: 4,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.40 : 7,824.90 = 3,186.40 : x
  2. Step 2: Convert to fraction form
    5,670.40/7,824.90 = 3,186.40/x
  3. Step 3: Cross multiply
    5,670.40x = 7,824.90 × 3,186.40
  4. Step 4: Simplify right side
    5,670.40x = 24,933,261.36
  5. Step 5: Solve for x
    x = 24,933,261.36/5,670.40
  6. Step 6: Final answer
    x = 4,397.09

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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.