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Finding the Fourth Proportional to 3,647.68, 5,465.22 and 2,872.63

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Solution

The fourth proportional to 3,647.68, 5,465.22 and 2,872.63 is: 4,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.68 : 5,465.22 = 2,872.63 : x
  2. Step 2: Convert to fraction form
    3,647.68/5,465.22 = 2,872.63/x
  3. Step 3: Cross multiply
    3,647.68x = 5,465.22 × 2,872.63
  4. Step 4: Simplify right side
    3,647.68x = 15,699,554.93
  5. Step 5: Solve for x
    x = 15,699,554.93/3,647.68
  6. Step 6: Final answer
    x = 4,303.98

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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.