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Finding the Fourth Proportional to 3,505.78, 4,835.59 and 2,978.20

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Solution

The fourth proportional to 3,505.78, 4,835.59 and 2,978.20 is: 4,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.78 : 4,835.59 = 2,978.20 : x
  2. Step 2: Convert to fraction form
    3,505.78/4,835.59 = 2,978.20/x
  3. Step 3: Cross multiply
    3,505.78x = 4,835.59 × 2,978.20
  4. Step 4: Simplify right side
    3,505.78x = 14,401,354.14
  5. Step 5: Solve for x
    x = 14,401,354.14/3,505.78
  6. Step 6: Final answer
    x = 4,107.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.