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Finding the Fourth Proportional to 7,758.98, 10,692.79 and 6,994.89

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Solution

The fourth proportional to 7,758.98, 10,692.79 and 6,994.89 is: 9,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.98 : 10,692.79 = 6,994.89 : x
  2. Step 2: Convert to fraction form
    7,758.98/10,692.79 = 6,994.89/x
  3. Step 3: Cross multiply
    7,758.98x = 10,692.79 × 6,994.89
  4. Step 4: Simplify right side
    7,758.98x = 74,794,872.36
  5. Step 5: Solve for x
    x = 74,794,872.36/7,758.98
  6. Step 6: Final answer
    x = 9,639.78

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1.5x scale

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.