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Finding the Fourth Proportional to 5,269.46, 7,271.76 and 2,911.76

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Solution

The fourth proportional to 5,269.46, 7,271.76 and 2,911.76 is: 4,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.46 : 7,271.76 = 2,911.76 : x
  2. Step 2: Convert to fraction form
    5,269.46/7,271.76 = 2,911.76/x
  3. Step 3: Cross multiply
    5,269.46x = 7,271.76 × 2,911.76
  4. Step 4: Simplify right side
    5,269.46x = 21,173,619.90
  5. Step 5: Solve for x
    x = 21,173,619.90/5,269.46
  6. Step 6: Final answer
    x = 4,018.18

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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.