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Finding the Fourth Proportional to 2,423.81, 3,636.32 and 780.32

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Solution

The fourth proportional to 2,423.81, 3,636.32 and 780.32 is: 1,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.81 : 3,636.32 = 780.32 : x
  2. Step 2: Convert to fraction form
    2,423.81/3,636.32 = 780.32/x
  3. Step 3: Cross multiply
    2,423.81x = 3,636.32 × 780.32
  4. Step 4: Simplify right side
    2,423.81x = 2,837,471.14
  5. Step 5: Solve for x
    x = 2,837,471.14/2,423.81
  6. Step 6: Final answer
    x = 1,170.67

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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.