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Finding the Fourth Proportional to 3,315.75, 4,973.63 and 1,559.46

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Solution

The fourth proportional to 3,315.75, 4,973.63 and 1,559.46 is: 2,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.75 : 4,973.63 = 1,559.46 : x
  2. Step 2: Convert to fraction form
    3,315.75/4,973.63 = 1,559.46/x
  3. Step 3: Cross multiply
    3,315.75x = 4,973.63 × 1,559.46
  4. Step 4: Simplify right side
    3,315.75x = 7,756,177.04
  5. Step 5: Solve for x
    x = 7,756,177.04/3,315.75
  6. Step 6: Final answer
    x = 2,339.19

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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.