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Finding the Fourth Proportional to 2,051.21, 3,077.02 and 955.89

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Solution

The fourth proportional to 2,051.21, 3,077.02 and 955.89 is: 1,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.21 : 3,077.02 = 955.89 : x
  2. Step 2: Convert to fraction form
    2,051.21/3,077.02 = 955.89/x
  3. Step 3: Cross multiply
    2,051.21x = 3,077.02 × 955.89
  4. Step 4: Simplify right side
    2,051.21x = 2,941,292.65
  5. Step 5: Solve for x
    x = 2,941,292.65/2,051.21
  6. Step 6: Final answer
    x = 1,433.93

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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.