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Finding the Fourth Proportional to 5,970.67, 8,231.70 and 5,140.30

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Solution

The fourth proportional to 5,970.67, 8,231.70 and 5,140.30 is: 7,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.67 : 8,231.70 = 5,140.30 : x
  2. Step 2: Convert to fraction form
    5,970.67/8,231.70 = 5,140.30/x
  3. Step 3: Cross multiply
    5,970.67x = 8,231.70 × 5,140.30
  4. Step 4: Simplify right side
    5,970.67x = 42,313,407.51
  5. Step 5: Solve for x
    x = 42,313,407.51/5,970.67
  6. Step 6: Final answer
    x = 7,086.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.