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Finding the Fourth Proportional to 2,521, 3,779.11 and 2,313.42

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Solution

The fourth proportional to 2,521, 3,779.11 and 2,313.42 is: 3,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521 : 3,779.11 = 2,313.42 : x
  2. Step 2: Convert to fraction form
    2,521/3,779.11 = 2,313.42/x
  3. Step 3: Cross multiply
    2,521x = 3,779.11 × 2,313.42
  4. Step 4: Simplify right side
    2,521x = 8,742,668.66
  5. Step 5: Solve for x
    x = 8,742,668.66/2,521
  6. Step 6: Final answer
    x = 3,467.94

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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.