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Finding the Fourth Proportional to 3,885.92, 5,827.45 and 1,420.01

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Solution

The fourth proportional to 3,885.92, 5,827.45 and 1,420.01 is: 2,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.92 : 5,827.45 = 1,420.01 : x
  2. Step 2: Convert to fraction form
    3,885.92/5,827.45 = 1,420.01/x
  3. Step 3: Cross multiply
    3,885.92x = 5,827.45 × 1,420.01
  4. Step 4: Simplify right side
    3,885.92x = 8,275,037.27
  5. Step 5: Solve for x
    x = 8,275,037.27/3,885.92
  6. Step 6: Final answer
    x = 2,129.49

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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.