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Finding the Fourth Proportional to 6,616.83, 9,925.23 and 1,686.44

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Solution

The fourth proportional to 6,616.83, 9,925.23 and 1,686.44 is: 2,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.83 : 9,925.23 = 1,686.44 : x
  2. Step 2: Convert to fraction form
    6,616.83/9,925.23 = 1,686.44/x
  3. Step 3: Cross multiply
    6,616.83x = 9,925.23 × 1,686.44
  4. Step 4: Simplify right side
    6,616.83x = 16,738,336.02
  5. Step 5: Solve for x
    x = 16,738,336.02/6,616.83
  6. Step 6: Final answer
    x = 2,529.66

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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.