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Finding the Fourth Proportional to 3,670.49, 5,503.91 and 1,330.40

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Solution

The fourth proportional to 3,670.49, 5,503.91 and 1,330.40 is: 1,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.49 : 5,503.91 = 1,330.40 : x
  2. Step 2: Convert to fraction form
    3,670.49/5,503.91 = 1,330.40/x
  3. Step 3: Cross multiply
    3,670.49x = 5,503.91 × 1,330.40
  4. Step 4: Simplify right side
    3,670.49x = 7,322,401.86
  5. Step 5: Solve for x
    x = 7,322,401.86/3,670.49
  6. Step 6: Final answer
    x = 1,994.94

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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.