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Finding the Fourth Proportional to 3,585.86, 5,378.92 and 989

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Solution

The fourth proportional to 3,585.86, 5,378.92 and 989 is: 1,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.86 : 5,378.92 = 989 : x
  2. Step 2: Convert to fraction form
    3,585.86/5,378.92 = 989/x
  3. Step 3: Cross multiply
    3,585.86x = 5,378.92 × 989
  4. Step 4: Simplify right side
    3,585.86x = 5,319,751.88
  5. Step 5: Solve for x
    x = 5,319,751.88/3,585.86
  6. Step 6: Final answer
    x = 1,483.54

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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.