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Finding the Fourth Proportional to 4,544, 6,272.64 and 2,888.96

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Solution

The fourth proportional to 4,544, 6,272.64 and 2,888.96 is: 3,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544 : 6,272.64 = 2,888.96 : x
  2. Step 2: Convert to fraction form
    4,544/6,272.64 = 2,888.96/x
  3. Step 3: Cross multiply
    4,544x = 6,272.64 × 2,888.96
  4. Step 4: Simplify right side
    4,544x = 18,121,406.05
  5. Step 5: Solve for x
    x = 18,121,406.05/4,544
  6. Step 6: Final answer
    x = 3,987.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.