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Finding the Fourth Proportional to 2,547.84, 3,821.80 and 816.47

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Solution

The fourth proportional to 2,547.84, 3,821.80 and 816.47 is: 1,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.84 : 3,821.80 = 816.47 : x
  2. Step 2: Convert to fraction form
    2,547.84/3,821.80 = 816.47/x
  3. Step 3: Cross multiply
    2,547.84x = 3,821.80 × 816.47
  4. Step 4: Simplify right side
    2,547.84x = 3,120,385.05
  5. Step 5: Solve for x
    x = 3,120,385.05/2,547.84
  6. Step 6: Final answer
    x = 1,224.72

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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.