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Finding the Fourth Proportional to 2,902.02, 4,353.02 and 1,442.20

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Solution

The fourth proportional to 2,902.02, 4,353.02 and 1,442.20 is: 2,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.02 : 4,353.02 = 1,442.20 : x
  2. Step 2: Convert to fraction form
    2,902.02/4,353.02 = 1,442.20/x
  3. Step 3: Cross multiply
    2,902.02x = 4,353.02 × 1,442.20
  4. Step 4: Simplify right side
    2,902.02x = 6,277,925.44
  5. Step 5: Solve for x
    x = 6,277,925.44/2,902.02
  6. Step 6: Final answer
    x = 2,163.30

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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.