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Finding the Fourth Proportional to 3,573.81, 4,931.87 and 2,001.90

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Solution

The fourth proportional to 3,573.81, 4,931.87 and 2,001.90 is: 2,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.81 : 4,931.87 = 2,001.90 : x
  2. Step 2: Convert to fraction form
    3,573.81/4,931.87 = 2,001.90/x
  3. Step 3: Cross multiply
    3,573.81x = 4,931.87 × 2,001.90
  4. Step 4: Simplify right side
    3,573.81x = 9,873,131.81
  5. Step 5: Solve for x
    x = 9,873,131.81/3,573.81
  6. Step 6: Final answer
    x = 2,762.64

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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.