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Finding the Fourth Proportional to 7,918.76, 11,878.14 and 2,075.32

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Solution

The fourth proportional to 7,918.76, 11,878.14 and 2,075.32 is: 3,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.76 : 11,878.14 = 2,075.32 : x
  2. Step 2: Convert to fraction form
    7,918.76/11,878.14 = 2,075.32/x
  3. Step 3: Cross multiply
    7,918.76x = 11,878.14 × 2,075.32
  4. Step 4: Simplify right side
    7,918.76x = 24,650,941.50
  5. Step 5: Solve for x
    x = 24,650,941.50/7,918.76
  6. Step 6: Final answer
    x = 3,112.98

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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.