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Finding the Fourth Proportional to 4,805.72, 7,208.92 and 1,685.36

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Solution

The fourth proportional to 4,805.72, 7,208.92 and 1,685.36 is: 2,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.72 : 7,208.92 = 1,685.36 : x
  2. Step 2: Convert to fraction form
    4,805.72/7,208.92 = 1,685.36/x
  3. Step 3: Cross multiply
    4,805.72x = 7,208.92 × 1,685.36
  4. Step 4: Simplify right side
    4,805.72x = 12,149,625.41
  5. Step 5: Solve for x
    x = 12,149,625.41/4,805.72
  6. Step 6: Final answer
    x = 2,528.16

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1.5x scale

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.