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Finding the Fourth Proportional to 2,638.40, 3,957.36 and 690.48

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Solution

The fourth proportional to 2,638.40, 3,957.36 and 690.48 is: 1,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.40 : 3,957.36 = 690.48 : x
  2. Step 2: Convert to fraction form
    2,638.40/3,957.36 = 690.48/x
  3. Step 3: Cross multiply
    2,638.40x = 3,957.36 × 690.48
  4. Step 4: Simplify right side
    2,638.40x = 2,732,477.93
  5. Step 5: Solve for x
    x = 2,732,477.93/2,638.40
  6. Step 6: Final answer
    x = 1,035.66

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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.