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Finding the Fourth Proportional to 5,315.48, 7,972.90 and 2,028.90

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Solution

The fourth proportional to 5,315.48, 7,972.90 and 2,028.90 is: 3,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.48 : 7,972.90 = 2,028.90 : x
  2. Step 2: Convert to fraction form
    5,315.48/7,972.90 = 2,028.90/x
  3. Step 3: Cross multiply
    5,315.48x = 7,972.90 × 2,028.90
  4. Step 4: Simplify right side
    5,315.48x = 16,176,216.81
  5. Step 5: Solve for x
    x = 16,176,216.81/5,315.48
  6. Step 6: Final answer
    x = 3,043.23

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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.