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Finding the Fourth Proportional to 2,445.40, 3,668.04 and 984.64

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Solution

The fourth proportional to 2,445.40, 3,668.04 and 984.64 is: 1,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.40 : 3,668.04 = 984.64 : x
  2. Step 2: Convert to fraction form
    2,445.40/3,668.04 = 984.64/x
  3. Step 3: Cross multiply
    2,445.40x = 3,668.04 × 984.64
  4. Step 4: Simplify right side
    2,445.40x = 3,611,698.91
  5. Step 5: Solve for x
    x = 3,611,698.91/2,445.40
  6. Step 6: Final answer
    x = 1,476.94

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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.