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Finding the Fourth Proportional to 6,410.80, 9,616.20 and 4,682.80

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Solution

The fourth proportional to 6,410.80, 9,616.20 and 4,682.80 is: 7,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.80 : 9,616.20 = 4,682.80 : x
  2. Step 2: Convert to fraction form
    6,410.80/9,616.20 = 4,682.80/x
  3. Step 3: Cross multiply
    6,410.80x = 9,616.20 × 4,682.80
  4. Step 4: Simplify right side
    6,410.80x = 45,030,741.36
  5. Step 5: Solve for x
    x = 45,030,741.36/6,410.80
  6. Step 6: Final answer
    x = 7,024.20

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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.