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Finding the Fourth Proportional to 3,971.79, 5,952.99 and 1,630.35

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Solution

The fourth proportional to 3,971.79, 5,952.99 and 1,630.35 is: 2,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.79 : 5,952.99 = 1,630.35 : x
  2. Step 2: Convert to fraction form
    3,971.79/5,952.99 = 1,630.35/x
  3. Step 3: Cross multiply
    3,971.79x = 5,952.99 × 1,630.35
  4. Step 4: Simplify right side
    3,971.79x = 9,705,457.25
  5. Step 5: Solve for x
    x = 9,705,457.25/3,971.79
  6. Step 6: Final answer
    x = 2,443.60

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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.