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Finding the Fourth Proportional to 2,305, 3,180.90 and 1,477

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Solution

The fourth proportional to 2,305, 3,180.90 and 1,477 is: 2,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305 : 3,180.90 = 1,477 : x
  2. Step 2: Convert to fraction form
    2,305/3,180.90 = 1,477/x
  3. Step 3: Cross multiply
    2,305x = 3,180.90 × 1,477
  4. Step 4: Simplify right side
    2,305x = 4,698,189.30
  5. Step 5: Solve for x
    x = 4,698,189.30/2,305
  6. Step 6: Final answer
    x = 2,038.26

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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.