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Finding the Fourth Proportional to 2,256.88, 3,384.42 and 869.45

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Solution

The fourth proportional to 2,256.88, 3,384.42 and 869.45 is: 1,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.88 : 3,384.42 = 869.45 : x
  2. Step 2: Convert to fraction form
    2,256.88/3,384.42 = 869.45/x
  3. Step 3: Cross multiply
    2,256.88x = 3,384.42 × 869.45
  4. Step 4: Simplify right side
    2,256.88x = 2,942,586.14
  5. Step 5: Solve for x
    x = 2,942,586.14/2,256.88
  6. Step 6: Final answer
    x = 1,303.83

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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.