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Finding the Fourth Proportional to 2,477.90, 3,709.65 and 2,405.90

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Solution

The fourth proportional to 2,477.90, 3,709.65 and 2,405.90 is: 3,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.90 : 3,709.65 = 2,405.90 : x
  2. Step 2: Convert to fraction form
    2,477.90/3,709.65 = 2,405.90/x
  3. Step 3: Cross multiply
    2,477.90x = 3,709.65 × 2,405.90
  4. Step 4: Simplify right side
    2,477.90x = 8,925,046.94
  5. Step 5: Solve for x
    x = 8,925,046.94/2,477.90
  6. Step 6: Final answer
    x = 3,601.86

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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.