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Finding the Fourth Proportional to 3,887.96, 5,830.12 and 1,421.05

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Solution

The fourth proportional to 3,887.96, 5,830.12 and 1,421.05 is: 2,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.96 : 5,830.12 = 1,421.05 : x
  2. Step 2: Convert to fraction form
    3,887.96/5,830.12 = 1,421.05/x
  3. Step 3: Cross multiply
    3,887.96x = 5,830.12 × 1,421.05
  4. Step 4: Simplify right side
    3,887.96x = 8,284,892.03
  5. Step 5: Solve for x
    x = 8,284,892.03/3,887.96
  6. Step 6: Final answer
    x = 2,130.91

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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.