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Finding the Fourth Proportional to 5,711.80, 8,003 and 5,711.80

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Solution

The fourth proportional to 5,711.80, 8,003 and 5,711.80 is: 8,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.80 : 8,003 = 5,711.80 : x
  2. Step 2: Convert to fraction form
    5,711.80/8,003 = 5,711.80/x
  3. Step 3: Cross multiply
    5,711.80x = 8,003 × 5,711.80
  4. Step 4: Simplify right side
    5,711.80x = 45,711,535.40
  5. Step 5: Solve for x
    x = 45,711,535.40/5,711.80
  6. Step 6: Final answer
    x = 8,003.00

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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.