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Finding the Fourth Proportional to 5,137.24, 7,706.58 and 1,673.68

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Solution

The fourth proportional to 5,137.24, 7,706.58 and 1,673.68 is: 2,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.24 : 7,706.58 = 1,673.68 : x
  2. Step 2: Convert to fraction form
    5,137.24/7,706.58 = 1,673.68/x
  3. Step 3: Cross multiply
    5,137.24x = 7,706.58 × 1,673.68
  4. Step 4: Simplify right side
    5,137.24x = 12,898,348.81
  5. Step 5: Solve for x
    x = 12,898,348.81/5,137.24
  6. Step 6: Final answer
    x = 2,510.75

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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.