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Finding the Fourth Proportional to 3,903.85, 5,857.98 and 1,564.03

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Solution

The fourth proportional to 3,903.85, 5,857.98 and 1,564.03 is: 2,346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.85 : 5,857.98 = 1,564.03 : x
  2. Step 2: Convert to fraction form
    3,903.85/5,857.98 = 1,564.03/x
  3. Step 3: Cross multiply
    3,903.85x = 5,857.98 × 1,564.03
  4. Step 4: Simplify right side
    3,903.85x = 9,162,056.46
  5. Step 5: Solve for x
    x = 9,162,056.46/3,903.85
  6. Step 6: Final answer
    x = 2,346.93

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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.