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Finding the Fourth Proportional to 2,270.80, 3,132.90 and 1,484.80

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Solution

The fourth proportional to 2,270.80, 3,132.90 and 1,484.80 is: 2,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.80 : 3,132.90 = 1,484.80 : x
  2. Step 2: Convert to fraction form
    2,270.80/3,132.90 = 1,484.80/x
  3. Step 3: Cross multiply
    2,270.80x = 3,132.90 × 1,484.80
  4. Step 4: Simplify right side
    2,270.80x = 4,651,729.92
  5. Step 5: Solve for x
    x = 4,651,729.92/2,270.80
  6. Step 6: Final answer
    x = 2,048.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.