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Finding the Fourth Proportional to 2,983.60, 4,182.80 and 2,983.60

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Solution

The fourth proportional to 2,983.60, 4,182.80 and 2,983.60 is: 4,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.60 : 4,182.80 = 2,983.60 : x
  2. Step 2: Convert to fraction form
    2,983.60/4,182.80 = 2,983.60/x
  3. Step 3: Cross multiply
    2,983.60x = 4,182.80 × 2,983.60
  4. Step 4: Simplify right side
    2,983.60x = 12,479,802.08
  5. Step 5: Solve for x
    x = 12,479,802.08/2,983.60
  6. Step 6: Final answer
    x = 4,182.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.