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Finding the Fourth Proportional to 2,980.40, 4,465.20 and 1,824.80

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Solution

The fourth proportional to 2,980.40, 4,465.20 and 1,824.80 is: 2,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.40 : 4,465.20 = 1,824.80 : x
  2. Step 2: Convert to fraction form
    2,980.40/4,465.20 = 1,824.80/x
  3. Step 3: Cross multiply
    2,980.40x = 4,465.20 × 1,824.80
  4. Step 4: Simplify right side
    2,980.40x = 8,148,096.96
  5. Step 5: Solve for x
    x = 8,148,096.96/2,980.40
  6. Step 6: Final answer
    x = 2,733.89

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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.