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Finding the Fourth Proportional to 1,638.72, 2,466.32 and 1,230

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Solution

The fourth proportional to 1,638.72, 2,466.32 and 1,230 is: 1,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.72 : 2,466.32 = 1,230 : x
  2. Step 2: Convert to fraction form
    1,638.72/2,466.32 = 1,230/x
  3. Step 3: Cross multiply
    1,638.72x = 2,466.32 × 1,230
  4. Step 4: Simplify right side
    1,638.72x = 3,033,573.60
  5. Step 5: Solve for x
    x = 3,033,573.60/1,638.72
  6. Step 6: Final answer
    x = 1,851.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.