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Finding the Fourth Proportional to 2,289.48, 3,434.40 and 902.72

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Solution

The fourth proportional to 2,289.48, 3,434.40 and 902.72 is: 1,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.48 : 3,434.40 = 902.72 : x
  2. Step 2: Convert to fraction form
    2,289.48/3,434.40 = 902.72/x
  3. Step 3: Cross multiply
    2,289.48x = 3,434.40 × 902.72
  4. Step 4: Simplify right side
    2,289.48x = 3,100,301.57
  5. Step 5: Solve for x
    x = 3,100,301.57/2,289.48
  6. Step 6: Final answer
    x = 1,354.15

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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.