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Finding the Fourth Proportional to 1,842.68, 2,770.40 and 1,480.01

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Solution

The fourth proportional to 1,842.68, 2,770.40 and 1,480.01 is: 2,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.68 : 2,770.40 = 1,480.01 : x
  2. Step 2: Convert to fraction form
    1,842.68/2,770.40 = 1,480.01/x
  3. Step 3: Cross multiply
    1,842.68x = 2,770.40 × 1,480.01
  4. Step 4: Simplify right side
    1,842.68x = 4,100,209.55
  5. Step 5: Solve for x
    x = 4,100,209.55/1,842.68
  6. Step 6: Final answer
    x = 2,225.13

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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.