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Finding the Fourth Proportional to 2,805.48, 4,203 and 1,763.28

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Solution

The fourth proportional to 2,805.48, 4,203 and 1,763.28 is: 2,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.48 : 4,203 = 1,763.28 : x
  2. Step 2: Convert to fraction form
    2,805.48/4,203 = 1,763.28/x
  3. Step 3: Cross multiply
    2,805.48x = 4,203 × 1,763.28
  4. Step 4: Simplify right side
    2,805.48x = 7,411,065.84
  5. Step 5: Solve for x
    x = 7,411,065.84/2,805.48
  6. Step 6: Final answer
    x = 2,641.64

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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.