Home / 2,090-2,884.26-1,158.56

Finding the Fourth Proportional to 2,090, 2,884.26 and 1,158.56

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Solution

The fourth proportional to 2,090, 2,884.26 and 1,158.56 is: 1,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090 : 2,884.26 = 1,158.56 : x
  2. Step 2: Convert to fraction form
    2,090/2,884.26 = 1,158.56/x
  3. Step 3: Cross multiply
    2,090x = 2,884.26 × 1,158.56
  4. Step 4: Simplify right side
    2,090x = 3,341,588.27
  5. Step 5: Solve for x
    x = 3,341,588.27/2,090
  6. Step 6: Final answer
    x = 1,598.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.