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Finding the Fourth Proportional to 2,289.06, 3,432.78 and 902.34

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Solution

The fourth proportional to 2,289.06, 3,432.78 and 902.34 is: 1,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.06 : 3,432.78 = 902.34 : x
  2. Step 2: Convert to fraction form
    2,289.06/3,432.78 = 902.34/x
  3. Step 3: Cross multiply
    2,289.06x = 3,432.78 × 902.34
  4. Step 4: Simplify right side
    2,289.06x = 3,097,534.71
  5. Step 5: Solve for x
    x = 3,097,534.71/2,289.06
  6. Step 6: Final answer
    x = 1,353.19

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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.