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Finding the Fourth Proportional to 2,888.36, 3,986.58 and 2,257.64

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Solution

The fourth proportional to 2,888.36, 3,986.58 and 2,257.64 is: 3,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.36 : 3,986.58 = 2,257.64 : x
  2. Step 2: Convert to fraction form
    2,888.36/3,986.58 = 2,257.64/x
  3. Step 3: Cross multiply
    2,888.36x = 3,986.58 × 2,257.64
  4. Step 4: Simplify right side
    2,888.36x = 9,000,262.47
  5. Step 5: Solve for x
    x = 9,000,262.47/2,888.36
  6. Step 6: Final answer
    x = 3,116.05

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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.