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Finding the Fourth Proportional to 5,807.57, 8,711.97 and 1,857.45

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Solution

The fourth proportional to 5,807.57, 8,711.97 and 1,857.45 is: 2,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.57 : 8,711.97 = 1,857.45 : x
  2. Step 2: Convert to fraction form
    5,807.57/8,711.97 = 1,857.45/x
  3. Step 3: Cross multiply
    5,807.57x = 8,711.97 × 1,857.45
  4. Step 4: Simplify right side
    5,807.57x = 16,182,048.68
  5. Step 5: Solve for x
    x = 16,182,048.68/5,807.57
  6. Step 6: Final answer
    x = 2,786.37

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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.