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Finding the Fourth Proportional to 3,470.94, 5,206.14 and 1,390.86

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Solution

The fourth proportional to 3,470.94, 5,206.14 and 1,390.86 is: 2,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.94 : 5,206.14 = 1,390.86 : x
  2. Step 2: Convert to fraction form
    3,470.94/5,206.14 = 1,390.86/x
  3. Step 3: Cross multiply
    3,470.94x = 5,206.14 × 1,390.86
  4. Step 4: Simplify right side
    3,470.94x = 7,241,011.88
  5. Step 5: Solve for x
    x = 7,241,011.88/3,470.94
  6. Step 6: Final answer
    x = 2,086.18

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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.