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Finding the Fourth Proportional to 2,043.78, 3,065.64 and 504.78

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Solution

The fourth proportional to 2,043.78, 3,065.64 and 504.78 is: 757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.78 : 3,065.64 = 504.78 : x
  2. Step 2: Convert to fraction form
    2,043.78/3,065.64 = 504.78/x
  3. Step 3: Cross multiply
    2,043.78x = 3,065.64 × 504.78
  4. Step 4: Simplify right side
    2,043.78x = 1,547,473.76
  5. Step 5: Solve for x
    x = 1,547,473.76/2,043.78
  6. Step 6: Final answer
    x = 757.16

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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.