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Finding the Fourth Proportional to 3,450.72, 4,760.40 and 2,124

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Solution

The fourth proportional to 3,450.72, 4,760.40 and 2,124 is: 2,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.72 : 4,760.40 = 2,124 : x
  2. Step 2: Convert to fraction form
    3,450.72/4,760.40 = 2,124/x
  3. Step 3: Cross multiply
    3,450.72x = 4,760.40 × 2,124
  4. Step 4: Simplify right side
    3,450.72x = 10,111,089.60
  5. Step 5: Solve for x
    x = 10,111,089.60/3,450.72
  6. Step 6: Final answer
    x = 2,930.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.