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Finding the Fourth Proportional to 11,550.80, 17,323.80 and 4,977.20

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Solution

The fourth proportional to 11,550.80, 17,323.80 and 4,977.20 is: 7,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.80 : 17,323.80 = 4,977.20 : x
  2. Step 2: Convert to fraction form
    11,550.80/17,323.80 = 4,977.20/x
  3. Step 3: Cross multiply
    11,550.80x = 17,323.80 × 4,977.20
  4. Step 4: Simplify right side
    11,550.80x = 86,224,017.36
  5. Step 5: Solve for x
    x = 86,224,017.36/11,550.80
  6. Step 6: Final answer
    x = 7,464.77

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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.