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Finding the Fourth Proportional to 3,819.64, 5,730.32 and 1,354.45

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Solution

The fourth proportional to 3,819.64, 5,730.32 and 1,354.45 is: 2,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.64 : 5,730.32 = 1,354.45 : x
  2. Step 2: Convert to fraction form
    3,819.64/5,730.32 = 1,354.45/x
  3. Step 3: Cross multiply
    3,819.64x = 5,730.32 × 1,354.45
  4. Step 4: Simplify right side
    3,819.64x = 7,761,457.13
  5. Step 5: Solve for x
    x = 7,761,457.13/3,819.64
  6. Step 6: Final answer
    x = 2,031.99

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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.