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Finding the Fourth Proportional to 2,709.65, 4,069.10 and 1,675.76

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Solution

The fourth proportional to 2,709.65, 4,069.10 and 1,675.76 is: 2,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.65 : 4,069.10 = 1,675.76 : x
  2. Step 2: Convert to fraction form
    2,709.65/4,069.10 = 1,675.76/x
  3. Step 3: Cross multiply
    2,709.65x = 4,069.10 × 1,675.76
  4. Step 4: Simplify right side
    2,709.65x = 6,818,818.86
  5. Step 5: Solve for x
    x = 6,818,818.86/2,709.65
  6. Step 6: Final answer
    x = 2,516.49

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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.