Home / 1,518.86-2,098.50-1,147.08

Finding the Fourth Proportional to 1,518.86, 2,098.50 and 1,147.08

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Solution

The fourth proportional to 1,518.86, 2,098.50 and 1,147.08 is: 1,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.86 : 2,098.50 = 1,147.08 : x
  2. Step 2: Convert to fraction form
    1,518.86/2,098.50 = 1,147.08/x
  3. Step 3: Cross multiply
    1,518.86x = 2,098.50 × 1,147.08
  4. Step 4: Simplify right side
    1,518.86x = 2,407,147.38
  5. Step 5: Solve for x
    x = 2,407,147.38/1,518.86
  6. Step 6: Final answer
    x = 1,584.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.