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Finding the Fourth Proportional to 3,580.64, 5,373.12 and 1,390.40

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Solution

The fourth proportional to 3,580.64, 5,373.12 and 1,390.40 is: 2,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.64 : 5,373.12 = 1,390.40 : x
  2. Step 2: Convert to fraction form
    3,580.64/5,373.12 = 1,390.40/x
  3. Step 3: Cross multiply
    3,580.64x = 5,373.12 × 1,390.40
  4. Step 4: Simplify right side
    3,580.64x = 7,470,786.05
  5. Step 5: Solve for x
    x = 7,470,786.05/3,580.64
  6. Step 6: Final answer
    x = 2,086.44

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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.