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Finding the Fourth Proportional to 1,904.86, 2,859.87 and 1,318.45

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Solution

The fourth proportional to 1,904.86, 2,859.87 and 1,318.45 is: 1,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.86 : 2,859.87 = 1,318.45 : x
  2. Step 2: Convert to fraction form
    1,904.86/2,859.87 = 1,318.45/x
  3. Step 3: Cross multiply
    1,904.86x = 2,859.87 × 1,318.45
  4. Step 4: Simplify right side
    1,904.86x = 3,770,595.60
  5. Step 5: Solve for x
    x = 3,770,595.60/1,904.86
  6. Step 6: Final answer
    x = 1,979.46

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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.