Home / 1,581.60-2,375.10-1,036.20

Finding the Fourth Proportional to 1,581.60, 2,375.10 and 1,036.20

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Solution

The fourth proportional to 1,581.60, 2,375.10 and 1,036.20 is: 1,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.60 : 2,375.10 = 1,036.20 : x
  2. Step 2: Convert to fraction form
    1,581.60/2,375.10 = 1,036.20/x
  3. Step 3: Cross multiply
    1,581.60x = 2,375.10 × 1,036.20
  4. Step 4: Simplify right side
    1,581.60x = 2,461,078.62
  5. Step 5: Solve for x
    x = 2,461,078.62/1,581.60
  6. Step 6: Final answer
    x = 1,556.07

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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.