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Finding the Fourth Proportional to 5,853.12, 8,775.36 and 3,544.08

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Solution

The fourth proportional to 5,853.12, 8,775.36 and 3,544.08 is: 5,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.12 : 8,775.36 = 3,544.08 : x
  2. Step 2: Convert to fraction form
    5,853.12/8,775.36 = 3,544.08/x
  3. Step 3: Cross multiply
    5,853.12x = 8,775.36 × 3,544.08
  4. Step 4: Simplify right side
    5,853.12x = 31,100,577.87
  5. Step 5: Solve for x
    x = 31,100,577.87/5,853.12
  6. Step 6: Final answer
    x = 5,313.50

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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.