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Finding the Fourth Proportional to 2,752.56, 4,127.76 and 1,776.96

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Solution

The fourth proportional to 2,752.56, 4,127.76 and 1,776.96 is: 2,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.56 : 4,127.76 = 1,776.96 : x
  2. Step 2: Convert to fraction form
    2,752.56/4,127.76 = 1,776.96/x
  3. Step 3: Cross multiply
    2,752.56x = 4,127.76 × 1,776.96
  4. Step 4: Simplify right side
    2,752.56x = 7,334,864.41
  5. Step 5: Solve for x
    x = 7,334,864.41/2,752.56
  6. Step 6: Final answer
    x = 2,664.74

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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.