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Finding the Fourth Proportional to 7,918.70, 11,878.05 and 2,075.42

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Solution

The fourth proportional to 7,918.70, 11,878.05 and 2,075.42 is: 3,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.70 : 11,878.05 = 2,075.42 : x
  2. Step 2: Convert to fraction form
    7,918.70/11,878.05 = 2,075.42/x
  3. Step 3: Cross multiply
    7,918.70x = 11,878.05 × 2,075.42
  4. Step 4: Simplify right side
    7,918.70x = 24,651,942.53
  5. Step 5: Solve for x
    x = 24,651,942.53/7,918.70
  6. Step 6: Final answer
    x = 3,113.13

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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.