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Finding the Fourth Proportional to 6,987.12, 10,480.80 and 1,792.80

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Solution

The fourth proportional to 6,987.12, 10,480.80 and 1,792.80 is: 2,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.12 : 10,480.80 = 1,792.80 : x
  2. Step 2: Convert to fraction form
    6,987.12/10,480.80 = 1,792.80/x
  3. Step 3: Cross multiply
    6,987.12x = 10,480.80 × 1,792.80
  4. Step 4: Simplify right side
    6,987.12x = 18,789,978.24
  5. Step 5: Solve for x
    x = 18,789,978.24/6,987.12
  6. Step 6: Final answer
    x = 2,689.23

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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.