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Finding the Fourth Proportional to 1,827.84, 2,742.24 and 529.32

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Solution

The fourth proportional to 1,827.84, 2,742.24 and 529.32 is: 794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.84 : 2,742.24 = 529.32 : x
  2. Step 2: Convert to fraction form
    1,827.84/2,742.24 = 529.32/x
  3. Step 3: Cross multiply
    1,827.84x = 2,742.24 × 529.32
  4. Step 4: Simplify right side
    1,827.84x = 1,451,522.48
  5. Step 5: Solve for x
    x = 1,451,522.48/1,827.84
  6. Step 6: Final answer
    x = 794.12

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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.