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Finding the Fourth Proportional to 1,809.73, 2,719.13 and 1,151.89

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Solution

The fourth proportional to 1,809.73, 2,719.13 and 1,151.89 is: 1,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.73 : 2,719.13 = 1,151.89 : x
  2. Step 2: Convert to fraction form
    1,809.73/2,719.13 = 1,151.89/x
  3. Step 3: Cross multiply
    1,809.73x = 2,719.13 × 1,151.89
  4. Step 4: Simplify right side
    1,809.73x = 3,132,130.42
  5. Step 5: Solve for x
    x = 3,132,130.42/1,809.73
  6. Step 6: Final answer
    x = 1,730.72

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1.5x scale

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.