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Finding the Fourth Proportional to 5,392.78, 8,081.80 and 4,075.46

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Solution

The fourth proportional to 5,392.78, 8,081.80 and 4,075.46 is: 6,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.78 : 8,081.80 = 4,075.46 : x
  2. Step 2: Convert to fraction form
    5,392.78/8,081.80 = 4,075.46/x
  3. Step 3: Cross multiply
    5,392.78x = 8,081.80 × 4,075.46
  4. Step 4: Simplify right side
    5,392.78x = 32,937,089.26
  5. Step 5: Solve for x
    x = 32,937,089.26/5,392.78
  6. Step 6: Final answer
    x = 6,107.63

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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.