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Finding the Fourth Proportional to 3,809.70, 5,698.15 and 3,390.53

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Solution

The fourth proportional to 3,809.70, 5,698.15 and 3,390.53 is: 5,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.70 : 5,698.15 = 3,390.53 : x
  2. Step 2: Convert to fraction form
    3,809.70/5,698.15 = 3,390.53/x
  3. Step 3: Cross multiply
    3,809.70x = 5,698.15 × 3,390.53
  4. Step 4: Simplify right side
    3,809.70x = 19,319,748.52
  5. Step 5: Solve for x
    x = 19,319,748.52/3,809.70
  6. Step 6: Final answer
    x = 5,071.20

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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.