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Finding the Fourth Proportional to 3,491.76, 5,238.40 and 1,152

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Solution

The fourth proportional to 3,491.76, 5,238.40 and 1,152 is: 1,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.76 : 5,238.40 = 1,152 : x
  2. Step 2: Convert to fraction form
    3,491.76/5,238.40 = 1,152/x
  3. Step 3: Cross multiply
    3,491.76x = 5,238.40 × 1,152
  4. Step 4: Simplify right side
    3,491.76x = 6,034,636.80
  5. Step 5: Solve for x
    x = 6,034,636.80/3,491.76
  6. Step 6: Final answer
    x = 1,728.25

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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.