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Finding the Fourth Proportional to 2,346.21, 3,518.02 and 785.39

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Solution

The fourth proportional to 2,346.21, 3,518.02 and 785.39 is: 1,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.21 : 3,518.02 = 785.39 : x
  2. Step 2: Convert to fraction form
    2,346.21/3,518.02 = 785.39/x
  3. Step 3: Cross multiply
    2,346.21x = 3,518.02 × 785.39
  4. Step 4: Simplify right side
    2,346.21x = 2,763,023.12
  5. Step 5: Solve for x
    x = 2,763,023.12/2,346.21
  6. Step 6: Final answer
    x = 1,177.65

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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.