Home / 5,222.53-7,831.21-1,664.19

Finding the Fourth Proportional to 5,222.53, 7,831.21 and 1,664.19

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Solution

The fourth proportional to 5,222.53, 7,831.21 and 1,664.19 is: 2,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.53 : 7,831.21 = 1,664.19 : x
  2. Step 2: Convert to fraction form
    5,222.53/7,831.21 = 1,664.19/x
  3. Step 3: Cross multiply
    5,222.53x = 7,831.21 × 1,664.19
  4. Step 4: Simplify right side
    5,222.53x = 13,032,621.37
  5. Step 5: Solve for x
    x = 13,032,621.37/5,222.53
  6. Step 6: Final answer
    x = 2,495.46

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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.