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Finding the Fourth Proportional to 4,902.60, 7,351.20 and 1,977.60

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Solution

The fourth proportional to 4,902.60, 7,351.20 and 1,977.60 is: 2,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.60 : 7,351.20 = 1,977.60 : x
  2. Step 2: Convert to fraction form
    4,902.60/7,351.20 = 1,977.60/x
  3. Step 3: Cross multiply
    4,902.60x = 7,351.20 × 1,977.60
  4. Step 4: Simplify right side
    4,902.60x = 14,537,733.12
  5. Step 5: Solve for x
    x = 14,537,733.12/4,902.60
  6. Step 6: Final answer
    x = 2,965.31

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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.