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Finding the Fourth Proportional to 3,311.87, 4,967.65 and 971.78

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Solution

The fourth proportional to 3,311.87, 4,967.65 and 971.78 is: 1,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.87 : 4,967.65 = 971.78 : x
  2. Step 2: Convert to fraction form
    3,311.87/4,967.65 = 971.78/x
  3. Step 3: Cross multiply
    3,311.87x = 4,967.65 × 971.78
  4. Step 4: Simplify right side
    3,311.87x = 4,827,433.83
  5. Step 5: Solve for x
    x = 4,827,433.83/3,311.87
  6. Step 6: Final answer
    x = 1,457.62

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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.