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Finding the Fourth Proportional to 7,765.02, 11,647.40 and 1,921.63

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Solution

The fourth proportional to 7,765.02, 11,647.40 and 1,921.63 is: 2,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.02 : 11,647.40 = 1,921.63 : x
  2. Step 2: Convert to fraction form
    7,765.02/11,647.40 = 1,921.63/x
  3. Step 3: Cross multiply
    7,765.02x = 11,647.40 × 1,921.63
  4. Step 4: Simplify right side
    7,765.02x = 22,381,993.26
  5. Step 5: Solve for x
    x = 22,381,993.26/7,765.02
  6. Step 6: Final answer
    x = 2,882.41

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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.