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Finding the Fourth Proportional to 4,070, 6,107.76 and 1,604.88

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Solution

The fourth proportional to 4,070, 6,107.76 and 1,604.88 is: 2,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070 : 6,107.76 = 1,604.88 : x
  2. Step 2: Convert to fraction form
    4,070/6,107.76 = 1,604.88/x
  3. Step 3: Cross multiply
    4,070x = 6,107.76 × 1,604.88
  4. Step 4: Simplify right side
    4,070x = 9,802,221.87
  5. Step 5: Solve for x
    x = 9,802,221.87/4,070
  6. Step 6: Final answer
    x = 2,408.41

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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.