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Finding the Fourth Proportional to 2,604.85, 3,903.47 and 1,977.47

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Solution

The fourth proportional to 2,604.85, 3,903.47 and 1,977.47 is: 2,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.85 : 3,903.47 = 1,977.47 : x
  2. Step 2: Convert to fraction form
    2,604.85/3,903.47 = 1,977.47/x
  3. Step 3: Cross multiply
    2,604.85x = 3,903.47 × 1,977.47
  4. Step 4: Simplify right side
    2,604.85x = 7,718,994.82
  5. Step 5: Solve for x
    x = 7,718,994.82/2,604.85
  6. Step 6: Final answer
    x = 2,963.32

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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.