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Finding the Fourth Proportional to 3,510.76, 5,266 and 878.26

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Solution

The fourth proportional to 3,510.76, 5,266 and 878.26 is: 1,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.76 : 5,266 = 878.26 : x
  2. Step 2: Convert to fraction form
    3,510.76/5,266 = 878.26/x
  3. Step 3: Cross multiply
    3,510.76x = 5,266 × 878.26
  4. Step 4: Simplify right side
    3,510.76x = 4,624,917.16
  5. Step 5: Solve for x
    x = 4,624,917.16/3,510.76
  6. Step 6: Final answer
    x = 1,317.35

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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.