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Finding the Fourth Proportional to 6,303.76, 9,455.96 and 1,921.28

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Solution

The fourth proportional to 6,303.76, 9,455.96 and 1,921.28 is: 2,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.76 : 9,455.96 = 1,921.28 : x
  2. Step 2: Convert to fraction form
    6,303.76/9,455.96 = 1,921.28/x
  3. Step 3: Cross multiply
    6,303.76x = 9,455.96 × 1,921.28
  4. Step 4: Simplify right side
    6,303.76x = 18,167,546.83
  5. Step 5: Solve for x
    x = 18,167,546.83/6,303.76
  6. Step 6: Final answer
    x = 2,882.02

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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.