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Finding the Fourth Proportional to 3,752.13, 5,628.06 and 1,155

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Solution

The fourth proportional to 3,752.13, 5,628.06 and 1,155 is: 1,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.13 : 5,628.06 = 1,155 : x
  2. Step 2: Convert to fraction form
    3,752.13/5,628.06 = 1,155/x
  3. Step 3: Cross multiply
    3,752.13x = 5,628.06 × 1,155
  4. Step 4: Simplify right side
    3,752.13x = 6,500,409.30
  5. Step 5: Solve for x
    x = 6,500,409.30/3,752.13
  6. Step 6: Final answer
    x = 1,732.46

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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.