Home / 1,518.44-2,278.76-971.96

Finding the Fourth Proportional to 1,518.44, 2,278.76 and 971.96

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Solution

The fourth proportional to 1,518.44, 2,278.76 and 971.96 is: 1,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.44 : 2,278.76 = 971.96 : x
  2. Step 2: Convert to fraction form
    1,518.44/2,278.76 = 971.96/x
  3. Step 3: Cross multiply
    1,518.44x = 2,278.76 × 971.96
  4. Step 4: Simplify right side
    1,518.44x = 2,214,854.61
  5. Step 5: Solve for x
    x = 2,214,854.61/1,518.44
  6. Step 6: Final answer
    x = 1,458.64

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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.