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Finding the Fourth Proportional to 2,989.62, 4,484.82 and 909.66

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Solution

The fourth proportional to 2,989.62, 4,484.82 and 909.66 is: 1,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.62 : 4,484.82 = 909.66 : x
  2. Step 2: Convert to fraction form
    2,989.62/4,484.82 = 909.66/x
  3. Step 3: Cross multiply
    2,989.62x = 4,484.82 × 909.66
  4. Step 4: Simplify right side
    2,989.62x = 4,079,661.36
  5. Step 5: Solve for x
    x = 4,079,661.36/2,989.62
  6. Step 6: Final answer
    x = 1,364.61

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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.