Home / 1,884.26-2,824.16-1,420.52

Finding the Fourth Proportional to 1,884.26, 2,824.16 and 1,420.52

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Solution

The fourth proportional to 1,884.26, 2,824.16 and 1,420.52 is: 2,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.26 : 2,824.16 = 1,420.52 : x
  2. Step 2: Convert to fraction form
    1,884.26/2,824.16 = 1,420.52/x
  3. Step 3: Cross multiply
    1,884.26x = 2,824.16 × 1,420.52
  4. Step 4: Simplify right side
    1,884.26x = 4,011,775.76
  5. Step 5: Solve for x
    x = 4,011,775.76/1,884.26
  6. Step 6: Final answer
    x = 2,129.10

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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.