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Finding the Fourth Proportional to 2,145.68, 3,217 and 912.45

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Solution

The fourth proportional to 2,145.68, 3,217 and 912.45 is: 1,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.68 : 3,217 = 912.45 : x
  2. Step 2: Convert to fraction form
    2,145.68/3,217 = 912.45/x
  3. Step 3: Cross multiply
    2,145.68x = 3,217 × 912.45
  4. Step 4: Simplify right side
    2,145.68x = 2,935,351.65
  5. Step 5: Solve for x
    x = 2,935,351.65/2,145.68
  6. Step 6: Final answer
    x = 1,368.03

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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.