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Finding the Fourth Proportional to 3,615.77, 4,984.31 and 2,828.45

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Solution

The fourth proportional to 3,615.77, 4,984.31 and 2,828.45 is: 3,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.77 : 4,984.31 = 2,828.45 : x
  2. Step 2: Convert to fraction form
    3,615.77/4,984.31 = 2,828.45/x
  3. Step 3: Cross multiply
    3,615.77x = 4,984.31 × 2,828.45
  4. Step 4: Simplify right side
    3,615.77x = 14,097,832.56
  5. Step 5: Solve for x
    x = 14,097,832.56/3,615.77
  6. Step 6: Final answer
    x = 3,898.99

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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.