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Finding the Fourth Proportional to 1,849.64, 2,771.62 and 753.71

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Solution

The fourth proportional to 1,849.64, 2,771.62 and 753.71 is: 1,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.64 : 2,771.62 = 753.71 : x
  2. Step 2: Convert to fraction form
    1,849.64/2,771.62 = 753.71/x
  3. Step 3: Cross multiply
    1,849.64x = 2,771.62 × 753.71
  4. Step 4: Simplify right side
    1,849.64x = 2,088,981.97
  5. Step 5: Solve for x
    x = 2,088,981.97/1,849.64
  6. Step 6: Final answer
    x = 1,129.40

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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.