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Finding the Fourth Proportional to 4,221.78, 5,826.18 and 2,358.78

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Solution

The fourth proportional to 4,221.78, 5,826.18 and 2,358.78 is: 3,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.78 : 5,826.18 = 2,358.78 : x
  2. Step 2: Convert to fraction form
    4,221.78/5,826.18 = 2,358.78/x
  3. Step 3: Cross multiply
    4,221.78x = 5,826.18 × 2,358.78
  4. Step 4: Simplify right side
    4,221.78x = 13,742,676.86
  5. Step 5: Solve for x
    x = 13,742,676.86/4,221.78
  6. Step 6: Final answer
    x = 3,255.19

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1.5x scale

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.