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Finding the Fourth Proportional to 2,516.50, 3,472.77 and 1,412.50

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Solution

The fourth proportional to 2,516.50, 3,472.77 and 1,412.50 is: 1,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.50 : 3,472.77 = 1,412.50 : x
  2. Step 2: Convert to fraction form
    2,516.50/3,472.77 = 1,412.50/x
  3. Step 3: Cross multiply
    2,516.50x = 3,472.77 × 1,412.50
  4. Step 4: Simplify right side
    2,516.50x = 4,905,287.63
  5. Step 5: Solve for x
    x = 4,905,287.63/2,516.50
  6. Step 6: Final answer
    x = 1,949.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.