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Finding the Fourth Proportional to 2,902.20, 4,353.93 and 954.36

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Solution

The fourth proportional to 2,902.20, 4,353.93 and 954.36 is: 1,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.20 : 4,353.93 = 954.36 : x
  2. Step 2: Convert to fraction form
    2,902.20/4,353.93 = 954.36/x
  3. Step 3: Cross multiply
    2,902.20x = 4,353.93 × 954.36
  4. Step 4: Simplify right side
    2,902.20x = 4,155,216.63
  5. Step 5: Solve for x
    x = 4,155,216.63/2,902.20
  6. Step 6: Final answer
    x = 1,431.75

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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.