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Finding the Fourth Proportional to 3,315.53, 4,971.20 and 1,559.41

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Solution

The fourth proportional to 3,315.53, 4,971.20 and 1,559.41 is: 2,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.53 : 4,971.20 = 1,559.41 : x
  2. Step 2: Convert to fraction form
    3,315.53/4,971.20 = 1,559.41/x
  3. Step 3: Cross multiply
    3,315.53x = 4,971.20 × 1,559.41
  4. Step 4: Simplify right side
    3,315.53x = 7,752,118.77
  5. Step 5: Solve for x
    x = 7,752,118.77/3,315.53
  6. Step 6: Final answer
    x = 2,338.12

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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.