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Finding the Fourth Proportional to 3,665.91, 5,489.63 and 2,429.58

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Solution

The fourth proportional to 3,665.91, 5,489.63 and 2,429.58 is: 3,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.91 : 5,489.63 = 2,429.58 : x
  2. Step 2: Convert to fraction form
    3,665.91/5,489.63 = 2,429.58/x
  3. Step 3: Cross multiply
    3,665.91x = 5,489.63 × 2,429.58
  4. Step 4: Simplify right side
    3,665.91x = 13,337,483.11
  5. Step 5: Solve for x
    x = 13,337,483.11/3,665.91
  6. Step 6: Final answer
    x = 3,638.25

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1.5x scale

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.