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Finding the Fourth Proportional to 2,157.45, 2,975.07 and 2,031.87

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Solution

The fourth proportional to 2,157.45, 2,975.07 and 2,031.87 is: 2,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.45 : 2,975.07 = 2,031.87 : x
  2. Step 2: Convert to fraction form
    2,157.45/2,975.07 = 2,031.87/x
  3. Step 3: Cross multiply
    2,157.45x = 2,975.07 × 2,031.87
  4. Step 4: Simplify right side
    2,157.45x = 6,044,974.26
  5. Step 5: Solve for x
    x = 6,044,974.26/2,157.45
  6. Step 6: Final answer
    x = 2,801.91

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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.