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Finding the Fourth Proportional to 2,887.36, 3,985.20 and 2,256.64

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Solution

The fourth proportional to 2,887.36, 3,985.20 and 2,256.64 is: 3,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.36 : 3,985.20 = 2,256.64 : x
  2. Step 2: Convert to fraction form
    2,887.36/3,985.20 = 2,256.64/x
  3. Step 3: Cross multiply
    2,887.36x = 3,985.20 × 2,256.64
  4. Step 4: Simplify right side
    2,887.36x = 8,993,161.73
  5. Step 5: Solve for x
    x = 8,993,161.73/2,887.36
  6. Step 6: Final answer
    x = 3,114.67

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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.