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Finding the Fourth Proportional to 2,977.56, 4,467.56 and 1,590.54

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Solution

The fourth proportional to 2,977.56, 4,467.56 and 1,590.54 is: 2,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.56 : 4,467.56 = 1,590.54 : x
  2. Step 2: Convert to fraction form
    2,977.56/4,467.56 = 1,590.54/x
  3. Step 3: Cross multiply
    2,977.56x = 4,467.56 × 1,590.54
  4. Step 4: Simplify right side
    2,977.56x = 7,105,832.88
  5. Step 5: Solve for x
    x = 7,105,832.88/2,977.56
  6. Step 6: Final answer
    x = 2,386.46

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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.