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Finding the Fourth Proportional to 4,784.74, 7,175.85 and 1,321.18

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Solution

The fourth proportional to 4,784.74, 7,175.85 and 1,321.18 is: 1,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.74 : 7,175.85 = 1,321.18 : x
  2. Step 2: Convert to fraction form
    4,784.74/7,175.85 = 1,321.18/x
  3. Step 3: Cross multiply
    4,784.74x = 7,175.85 × 1,321.18
  4. Step 4: Simplify right side
    4,784.74x = 9,480,589.50
  5. Step 5: Solve for x
    x = 9,480,589.50/4,784.74
  6. Step 6: Final answer
    x = 1,981.42

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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.