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Finding the Fourth Proportional to 7,868.36, 11,802.51 and 5,395.68

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Solution

The fourth proportional to 7,868.36, 11,802.51 and 5,395.68 is: 8,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.36 : 11,802.51 = 5,395.68 : x
  2. Step 2: Convert to fraction form
    7,868.36/11,802.51 = 5,395.68/x
  3. Step 3: Cross multiply
    7,868.36x = 11,802.51 × 5,395.68
  4. Step 4: Simplify right side
    7,868.36x = 63,682,567.16
  5. Step 5: Solve for x
    x = 63,682,567.16/7,868.36
  6. Step 6: Final answer
    x = 8,093.50

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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.