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Finding the Fourth Proportional to 7,750.98, 11,626.35 and 1,907.64

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Solution

The fourth proportional to 7,750.98, 11,626.35 and 1,907.64 is: 2,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.98 : 11,626.35 = 1,907.64 : x
  2. Step 2: Convert to fraction form
    7,750.98/11,626.35 = 1,907.64/x
  3. Step 3: Cross multiply
    7,750.98x = 11,626.35 × 1,907.64
  4. Step 4: Simplify right side
    7,750.98x = 22,178,890.31
  5. Step 5: Solve for x
    x = 22,178,890.31/7,750.98
  6. Step 6: Final answer
    x = 2,861.43

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1.5x scale

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.