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Finding the Fourth Proportional to 2,065.65, 2,850.17 and 1,309.67

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Solution

The fourth proportional to 2,065.65, 2,850.17 and 1,309.67 is: 1,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.65 : 2,850.17 = 1,309.67 : x
  2. Step 2: Convert to fraction form
    2,065.65/2,850.17 = 1,309.67/x
  3. Step 3: Cross multiply
    2,065.65x = 2,850.17 × 1,309.67
  4. Step 4: Simplify right side
    2,065.65x = 3,732,761.34
  5. Step 5: Solve for x
    x = 3,732,761.34/2,065.65
  6. Step 6: Final answer
    x = 1,807.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.