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Finding the Fourth Proportional to 3,847.48, 5,762.10 and 3,769.10

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Solution

The fourth proportional to 3,847.48, 5,762.10 and 3,769.10 is: 5,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.48 : 5,762.10 = 3,769.10 : x
  2. Step 2: Convert to fraction form
    3,847.48/5,762.10 = 3,769.10/x
  3. Step 3: Cross multiply
    3,847.48x = 5,762.10 × 3,769.10
  4. Step 4: Simplify right side
    3,847.48x = 21,717,931.11
  5. Step 5: Solve for x
    x = 21,717,931.11/3,847.48
  6. Step 6: Final answer
    x = 5,644.72

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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.