Home / 1,559.30-2,338.14-972.86

Finding the Fourth Proportional to 1,559.30, 2,338.14 and 972.86

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Solution

The fourth proportional to 1,559.30, 2,338.14 and 972.86 is: 1,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.30 : 2,338.14 = 972.86 : x
  2. Step 2: Convert to fraction form
    1,559.30/2,338.14 = 972.86/x
  3. Step 3: Cross multiply
    1,559.30x = 2,338.14 × 972.86
  4. Step 4: Simplify right side
    1,559.30x = 2,274,682.88
  5. Step 5: Solve for x
    x = 2,274,682.88/1,559.30
  6. Step 6: Final answer
    x = 1,458.78

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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.