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Finding the Fourth Proportional to 2,289.40, 3,431.70 and 902.20

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Solution

The fourth proportional to 2,289.40, 3,431.70 and 902.20 is: 1,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.40 : 3,431.70 = 902.20 : x
  2. Step 2: Convert to fraction form
    2,289.40/3,431.70 = 902.20/x
  3. Step 3: Cross multiply
    2,289.40x = 3,431.70 × 902.20
  4. Step 4: Simplify right side
    2,289.40x = 3,096,079.74
  5. Step 5: Solve for x
    x = 3,096,079.74/2,289.40
  6. Step 6: Final answer
    x = 1,352.35

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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.