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Finding the Fourth Proportional to 2,547.72, 3,821.70 and 816.36

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Solution

The fourth proportional to 2,547.72, 3,821.70 and 816.36 is: 1,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.72 : 3,821.70 = 816.36 : x
  2. Step 2: Convert to fraction form
    2,547.72/3,821.70 = 816.36/x
  3. Step 3: Cross multiply
    2,547.72x = 3,821.70 × 816.36
  4. Step 4: Simplify right side
    2,547.72x = 3,119,883.01
  5. Step 5: Solve for x
    x = 3,119,883.01/2,547.72
  6. Step 6: Final answer
    x = 1,224.58

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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.