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Finding the Fourth Proportional to 5,497.76, 7,586.28 and 3,139.28

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Solution

The fourth proportional to 5,497.76, 7,586.28 and 3,139.28 is: 4,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.76 : 7,586.28 = 3,139.28 : x
  2. Step 2: Convert to fraction form
    5,497.76/7,586.28 = 3,139.28/x
  3. Step 3: Cross multiply
    5,497.76x = 7,586.28 × 3,139.28
  4. Step 4: Simplify right side
    5,497.76x = 23,815,457.08
  5. Step 5: Solve for x
    x = 23,815,457.08/5,497.76
  6. Step 6: Final answer
    x = 4,331.85

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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.