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Finding the Fourth Proportional to 3,162.86, 4,744.29 and 971.57

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Solution

The fourth proportional to 3,162.86, 4,744.29 and 971.57 is: 1,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.86 : 4,744.29 = 971.57 : x
  2. Step 2: Convert to fraction form
    3,162.86/4,744.29 = 971.57/x
  3. Step 3: Cross multiply
    3,162.86x = 4,744.29 × 971.57
  4. Step 4: Simplify right side
    3,162.86x = 4,609,425.34
  5. Step 5: Solve for x
    x = 4,609,425.34/3,162.86
  6. Step 6: Final answer
    x = 1,457.36

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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.