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Finding the Fourth Proportional to 3,648, 5,472.82 and 1,050.74

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Solution

The fourth proportional to 3,648, 5,472.82 and 1,050.74 is: 1,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648 : 5,472.82 = 1,050.74 : x
  2. Step 2: Convert to fraction form
    3,648/5,472.82 = 1,050.74/x
  3. Step 3: Cross multiply
    3,648x = 5,472.82 × 1,050.74
  4. Step 4: Simplify right side
    3,648x = 5,750,510.89
  5. Step 5: Solve for x
    x = 5,750,510.89/3,648
  6. Step 6: Final answer
    x = 1,576.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.