Home / 3,835.86-5,752.57-1,644

Finding the Fourth Proportional to 3,835.86, 5,752.57 and 1,644

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Solution

The fourth proportional to 3,835.86, 5,752.57 and 1,644 is: 2,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.86 : 5,752.57 = 1,644 : x
  2. Step 2: Convert to fraction form
    3,835.86/5,752.57 = 1,644/x
  3. Step 3: Cross multiply
    3,835.86x = 5,752.57 × 1,644
  4. Step 4: Simplify right side
    3,835.86x = 9,457,225.08
  5. Step 5: Solve for x
    x = 9,457,225.08/3,835.86
  6. Step 6: Final answer
    x = 2,465.48

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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.