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Finding the Fourth Proportional to 6,410.64, 9,621.90 and 3,950.26

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Solution

The fourth proportional to 6,410.64, 9,621.90 and 3,950.26 is: 5,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.64 : 9,621.90 = 3,950.26 : x
  2. Step 2: Convert to fraction form
    6,410.64/9,621.90 = 3,950.26/x
  3. Step 3: Cross multiply
    6,410.64x = 9,621.90 × 3,950.26
  4. Step 4: Simplify right side
    6,410.64x = 38,009,006.69
  5. Step 5: Solve for x
    x = 38,009,006.69/6,410.64
  6. Step 6: Final answer
    x = 5,929.05

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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.