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Finding the Fourth Proportional to 2,709.56, 4,064.70 and 1,065.98

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Solution

The fourth proportional to 2,709.56, 4,064.70 and 1,065.98 is: 1,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.56 : 4,064.70 = 1,065.98 : x
  2. Step 2: Convert to fraction form
    2,709.56/4,064.70 = 1,065.98/x
  3. Step 3: Cross multiply
    2,709.56x = 4,064.70 × 1,065.98
  4. Step 4: Simplify right side
    2,709.56x = 4,332,888.91
  5. Step 5: Solve for x
    x = 4,332,888.91/2,709.56
  6. Step 6: Final answer
    x = 1,599.11

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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.