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Finding the Fourth Proportional to 4,459.68, 6,685.86 and 1,684.77

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Solution

The fourth proportional to 4,459.68, 6,685.86 and 1,684.77 is: 2,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.68 : 6,685.86 = 1,684.77 : x
  2. Step 2: Convert to fraction form
    4,459.68/6,685.86 = 1,684.77/x
  3. Step 3: Cross multiply
    4,459.68x = 6,685.86 × 1,684.77
  4. Step 4: Simplify right side
    4,459.68x = 11,264,136.35
  5. Step 5: Solve for x
    x = 11,264,136.35/4,459.68
  6. Step 6: Final answer
    x = 2,525.78

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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.