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Finding the Fourth Proportional to 1,509.38, 2,082.94 and 985.41

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Solution

The fourth proportional to 1,509.38, 2,082.94 and 985.41 is: 1,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.38 : 2,082.94 = 985.41 : x
  2. Step 2: Convert to fraction form
    1,509.38/2,082.94 = 985.41/x
  3. Step 3: Cross multiply
    1,509.38x = 2,082.94 × 985.41
  4. Step 4: Simplify right side
    1,509.38x = 2,052,547.44
  5. Step 5: Solve for x
    x = 2,052,547.44/1,509.38
  6. Step 6: Final answer
    x = 1,359.87

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1.5x scale

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.