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Finding the Fourth Proportional to 4,571.76, 6,857.64 and 1,971.12

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Solution

The fourth proportional to 4,571.76, 6,857.64 and 1,971.12 is: 2,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.76 : 6,857.64 = 1,971.12 : x
  2. Step 2: Convert to fraction form
    4,571.76/6,857.64 = 1,971.12/x
  3. Step 3: Cross multiply
    4,571.76x = 6,857.64 × 1,971.12
  4. Step 4: Simplify right side
    4,571.76x = 13,517,231.36
  5. Step 5: Solve for x
    x = 13,517,231.36/4,571.76
  6. Step 6: Final answer
    x = 2,956.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.