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Finding the Fourth Proportional to 8,544, 11,782.32 and 5,187.36

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Solution

The fourth proportional to 8,544, 11,782.32 and 5,187.36 is: 7,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544 : 11,782.32 = 5,187.36 : x
  2. Step 2: Convert to fraction form
    8,544/11,782.32 = 5,187.36/x
  3. Step 3: Cross multiply
    8,544x = 11,782.32 × 5,187.36
  4. Step 4: Simplify right side
    8,544x = 61,119,135.48
  5. Step 5: Solve for x
    x = 61,119,135.48/8,544
  6. Step 6: Final answer
    x = 7,153.46

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Why These Related Problems?

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