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Finding the Fourth Proportional to 1,798.57, 2,685.19 and 1,538.67

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Solution

The fourth proportional to 1,798.57, 2,685.19 and 1,538.67 is: 2,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.57 : 2,685.19 = 1,538.67 : x
  2. Step 2: Convert to fraction form
    1,798.57/2,685.19 = 1,538.67/x
  3. Step 3: Cross multiply
    1,798.57x = 2,685.19 × 1,538.67
  4. Step 4: Simplify right side
    1,798.57x = 4,131,621.30
  5. Step 5: Solve for x
    x = 4,131,621.30/1,798.57
  6. Step 6: Final answer
    x = 2,297.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.