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Finding the Fourth Proportional to 3,901, 5,852.58 and 1,592.68

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Solution

The fourth proportional to 3,901, 5,852.58 and 1,592.68 is: 2,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901 : 5,852.58 = 1,592.68 : x
  2. Step 2: Convert to fraction form
    3,901/5,852.58 = 1,592.68/x
  3. Step 3: Cross multiply
    3,901x = 5,852.58 × 1,592.68
  4. Step 4: Simplify right side
    3,901x = 9,321,287.11
  5. Step 5: Solve for x
    x = 9,321,287.11/3,901
  6. Step 6: Final answer
    x = 2,389.46

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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.