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Finding the Fourth Proportional to 1,946.21, 2,915.42 and 904.75

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Solution

The fourth proportional to 1,946.21, 2,915.42 and 904.75 is: 1,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.21 : 2,915.42 = 904.75 : x
  2. Step 2: Convert to fraction form
    1,946.21/2,915.42 = 904.75/x
  3. Step 3: Cross multiply
    1,946.21x = 2,915.42 × 904.75
  4. Step 4: Simplify right side
    1,946.21x = 2,637,714.43
  5. Step 5: Solve for x
    x = 2,637,714.43/1,946.21
  6. Step 6: Final answer
    x = 1,355.31

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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.