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Finding the Fourth Proportional to 5,671.80, 8,507.70 and 1,972.80

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Solution

The fourth proportional to 5,671.80, 8,507.70 and 1,972.80 is: 2,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.80 : 8,507.70 = 1,972.80 : x
  2. Step 2: Convert to fraction form
    5,671.80/8,507.70 = 1,972.80/x
  3. Step 3: Cross multiply
    5,671.80x = 8,507.70 × 1,972.80
  4. Step 4: Simplify right side
    5,671.80x = 16,783,990.56
  5. Step 5: Solve for x
    x = 16,783,990.56/5,671.80
  6. Step 6: Final answer
    x = 2,959.20

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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.