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Finding the Fourth Proportional to 7,750.50, 11,625.84 and 1,907.10

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Solution

The fourth proportional to 7,750.50, 11,625.84 and 1,907.10 is: 2,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.50 : 11,625.84 = 1,907.10 : x
  2. Step 2: Convert to fraction form
    7,750.50/11,625.84 = 1,907.10/x
  3. Step 3: Cross multiply
    7,750.50x = 11,625.84 × 1,907.10
  4. Step 4: Simplify right side
    7,750.50x = 22,171,639.46
  5. Step 5: Solve for x
    x = 22,171,639.46/7,750.50
  6. Step 6: Final answer
    x = 2,860.67

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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.