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Finding the Fourth Proportional to 2,520.76, 3,776.26 and 1,421.76

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Solution

The fourth proportional to 2,520.76, 3,776.26 and 1,421.76 is: 2,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.76 : 3,776.26 = 1,421.76 : x
  2. Step 2: Convert to fraction form
    2,520.76/3,776.26 = 1,421.76/x
  3. Step 3: Cross multiply
    2,520.76x = 3,776.26 × 1,421.76
  4. Step 4: Simplify right side
    2,520.76x = 5,368,935.42
  5. Step 5: Solve for x
    x = 5,368,935.42/2,520.76
  6. Step 6: Final answer
    x = 2,129.89

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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.