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Finding the Fourth Proportional to 2,429.21, 3,643.80 and 785.78

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Solution

The fourth proportional to 2,429.21, 3,643.80 and 785.78 is: 1,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.21 : 3,643.80 = 785.78 : x
  2. Step 2: Convert to fraction form
    2,429.21/3,643.80 = 785.78/x
  3. Step 3: Cross multiply
    2,429.21x = 3,643.80 × 785.78
  4. Step 4: Simplify right side
    2,429.21x = 2,863,225.16
  5. Step 5: Solve for x
    x = 2,863,225.16/2,429.21
  6. Step 6: Final answer
    x = 1,178.67

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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.