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Finding the Fourth Proportional to 2,989.72, 4,484.75 and 909.80

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Solution

The fourth proportional to 2,989.72, 4,484.75 and 909.80 is: 1,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.72 : 4,484.75 = 909.80 : x
  2. Step 2: Convert to fraction form
    2,989.72/4,484.75 = 909.80/x
  3. Step 3: Cross multiply
    2,989.72x = 4,484.75 × 909.80
  4. Step 4: Simplify right side
    2,989.72x = 4,080,225.55
  5. Step 5: Solve for x
    x = 4,080,225.55/2,989.72
  6. Step 6: Final answer
    x = 1,364.75

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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.