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Finding the Fourth Proportional to 2,991.65, 4,497.20 and 2,977.07

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Solution

The fourth proportional to 2,991.65, 4,497.20 and 2,977.07 is: 4,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.65 : 4,497.20 = 2,977.07 : x
  2. Step 2: Convert to fraction form
    2,991.65/4,497.20 = 2,977.07/x
  3. Step 3: Cross multiply
    2,991.65x = 4,497.20 × 2,977.07
  4. Step 4: Simplify right side
    2,991.65x = 13,388,464.32
  5. Step 5: Solve for x
    x = 13,388,464.32/2,991.65
  6. Step 6: Final answer
    x = 4,475.28

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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.