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Finding the Fourth Proportional to 1,827.88, 2,741.81 and 529.34

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Solution

The fourth proportional to 1,827.88, 2,741.81 and 529.34 is: 794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.88 : 2,741.81 = 529.34 : x
  2. Step 2: Convert to fraction form
    1,827.88/2,741.81 = 529.34/x
  3. Step 3: Cross multiply
    1,827.88x = 2,741.81 × 529.34
  4. Step 4: Simplify right side
    1,827.88x = 1,451,349.71
  5. Step 5: Solve for x
    x = 1,451,349.71/1,827.88
  6. Step 6: Final answer
    x = 794.01

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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.