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Finding the Fourth Proportional to 3,220.89, 4,831.74 and 1,465.89

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Solution

The fourth proportional to 3,220.89, 4,831.74 and 1,465.89 is: 2,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.89 : 4,831.74 = 1,465.89 : x
  2. Step 2: Convert to fraction form
    3,220.89/4,831.74 = 1,465.89/x
  3. Step 3: Cross multiply
    3,220.89x = 4,831.74 × 1,465.89
  4. Step 4: Simplify right side
    3,220.89x = 7,082,799.35
  5. Step 5: Solve for x
    x = 7,082,799.35/3,220.89
  6. Step 6: Final answer
    x = 2,199.02

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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.