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Finding the Fourth Proportional to 3,914.48, 5,867.40 and 1,604

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Solution

The fourth proportional to 3,914.48, 5,867.40 and 1,604 is: 2,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.48 : 5,867.40 = 1,604 : x
  2. Step 2: Convert to fraction form
    3,914.48/5,867.40 = 1,604/x
  3. Step 3: Cross multiply
    3,914.48x = 5,867.40 × 1,604
  4. Step 4: Simplify right side
    3,914.48x = 9,411,309.60
  5. Step 5: Solve for x
    x = 9,411,309.60/3,914.48
  6. Step 6: Final answer
    x = 2,404.23

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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.