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Finding the Fourth Proportional to 4,980.52, 7,470.84 and 1,820.23

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Solution

The fourth proportional to 4,980.52, 7,470.84 and 1,820.23 is: 2,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.52 : 7,470.84 = 1,820.23 : x
  2. Step 2: Convert to fraction form
    4,980.52/7,470.84 = 1,820.23/x
  3. Step 3: Cross multiply
    4,980.52x = 7,470.84 × 1,820.23
  4. Step 4: Simplify right side
    4,980.52x = 13,598,647.09
  5. Step 5: Solve for x
    x = 13,598,647.09/4,980.52
  6. Step 6: Final answer
    x = 2,730.37

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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.