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Finding the Fourth Proportional to 4,902.75, 7,354.51 and 1,392.70

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Solution

The fourth proportional to 4,902.75, 7,354.51 and 1,392.70 is: 2,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.75 : 7,354.51 = 1,392.70 : x
  2. Step 2: Convert to fraction form
    4,902.75/7,354.51 = 1,392.70/x
  3. Step 3: Cross multiply
    4,902.75x = 7,354.51 × 1,392.70
  4. Step 4: Simplify right side
    4,902.75x = 10,242,626.08
  5. Step 5: Solve for x
    x = 10,242,626.08/4,902.75
  6. Step 6: Final answer
    x = 2,089.16

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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.