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Finding the Fourth Proportional to 1,812.16, 2,700.41 and 1,731.16

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Solution

The fourth proportional to 1,812.16, 2,700.41 and 1,731.16 is: 2,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.16 : 2,700.41 = 1,731.16 : x
  2. Step 2: Convert to fraction form
    1,812.16/2,700.41 = 1,731.16/x
  3. Step 3: Cross multiply
    1,812.16x = 2,700.41 × 1,731.16
  4. Step 4: Simplify right side
    1,812.16x = 4,674,841.78
  5. Step 5: Solve for x
    x = 4,674,841.78/1,812.16
  6. Step 6: Final answer
    x = 2,579.71

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1.5x scale

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.