Home / 2,023.60-3,031.80-1,656.40

Finding the Fourth Proportional to 2,023.60, 3,031.80 and 1,656.40

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Solution

The fourth proportional to 2,023.60, 3,031.80 and 1,656.40 is: 2,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.60 : 3,031.80 = 1,656.40 : x
  2. Step 2: Convert to fraction form
    2,023.60/3,031.80 = 1,656.40/x
  3. Step 3: Cross multiply
    2,023.60x = 3,031.80 × 1,656.40
  4. Step 4: Simplify right side
    2,023.60x = 5,021,873.52
  5. Step 5: Solve for x
    x = 5,021,873.52/2,023.60
  6. Step 6: Final answer
    x = 2,481.65

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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.