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Finding the Fourth Proportional to 3,785.98, 5,681.76 and 1,913.68

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Solution

The fourth proportional to 3,785.98, 5,681.76 and 1,913.68 is: 2,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.98 : 5,681.76 = 1,913.68 : x
  2. Step 2: Convert to fraction form
    3,785.98/5,681.76 = 1,913.68/x
  3. Step 3: Cross multiply
    3,785.98x = 5,681.76 × 1,913.68
  4. Step 4: Simplify right side
    3,785.98x = 10,873,070.48
  5. Step 5: Solve for x
    x = 10,873,070.48/3,785.98
  6. Step 6: Final answer
    x = 2,871.93

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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.