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Finding the Fourth Proportional to 2,547.61, 3,821.51 and 792.65

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Solution

The fourth proportional to 2,547.61, 3,821.51 and 792.65 is: 1,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.61 : 3,821.51 = 792.65 : x
  2. Step 2: Convert to fraction form
    2,547.61/3,821.51 = 792.65/x
  3. Step 3: Cross multiply
    2,547.61x = 3,821.51 × 792.65
  4. Step 4: Simplify right side
    2,547.61x = 3,029,131.44
  5. Step 5: Solve for x
    x = 3,029,131.44/2,547.61
  6. Step 6: Final answer
    x = 1,189.01

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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.