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Finding the Fourth Proportional to 6,416.88, 9,616.95 and 3,644.79

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Solution

The fourth proportional to 6,416.88, 9,616.95 and 3,644.79 is: 5,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.88 : 9,616.95 = 3,644.79 : x
  2. Step 2: Convert to fraction form
    6,416.88/9,616.95 = 3,644.79/x
  3. Step 3: Cross multiply
    6,416.88x = 9,616.95 × 3,644.79
  4. Step 4: Simplify right side
    6,416.88x = 35,051,763.19
  5. Step 5: Solve for x
    x = 35,051,763.19/6,416.88
  6. Step 6: Final answer
    x = 5,462.43

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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.