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Finding the Fourth Proportional to 8,075.38, 11,143.98 and 4,538.58

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Solution

The fourth proportional to 8,075.38, 11,143.98 and 4,538.58 is: 6,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.38 : 11,143.98 = 4,538.58 : x
  2. Step 2: Convert to fraction form
    8,075.38/11,143.98 = 4,538.58/x
  3. Step 3: Cross multiply
    8,075.38x = 11,143.98 × 4,538.58
  4. Step 4: Simplify right side
    8,075.38x = 50,577,844.75
  5. Step 5: Solve for x
    x = 50,577,844.75/8,075.38
  6. Step 6: Final answer
    x = 6,263.22

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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.