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Finding the Fourth Proportional to 2,605.12, 3,898.48 and 2,053.48

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Solution

The fourth proportional to 2,605.12, 3,898.48 and 2,053.48 is: 3,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.12 : 3,898.48 = 2,053.48 : x
  2. Step 2: Convert to fraction form
    2,605.12/3,898.48 = 2,053.48/x
  3. Step 3: Cross multiply
    2,605.12x = 3,898.48 × 2,053.48
  4. Step 4: Simplify right side
    2,605.12x = 8,005,450.71
  5. Step 5: Solve for x
    x = 8,005,450.71/2,605.12
  6. Step 6: Final answer
    x = 3,072.97

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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.