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Finding the Fourth Proportional to 3,756.66, 5,630.13 and 1,807.80

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Solution

The fourth proportional to 3,756.66, 5,630.13 and 1,807.80 is: 2,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.66 : 5,630.13 = 1,807.80 : x
  2. Step 2: Convert to fraction form
    3,756.66/5,630.13 = 1,807.80/x
  3. Step 3: Cross multiply
    3,756.66x = 5,630.13 × 1,807.80
  4. Step 4: Simplify right side
    3,756.66x = 10,178,149.01
  5. Step 5: Solve for x
    x = 10,178,149.01/3,756.66
  6. Step 6: Final answer
    x = 2,709.36

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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.