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Finding the Fourth Proportional to 3,317.70, 4,978.29 and 1,470.09

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Solution

The fourth proportional to 3,317.70, 4,978.29 and 1,470.09 is: 2,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.70 : 4,978.29 = 1,470.09 : x
  2. Step 2: Convert to fraction form
    3,317.70/4,978.29 = 1,470.09/x
  3. Step 3: Cross multiply
    3,317.70x = 4,978.29 × 1,470.09
  4. Step 4: Simplify right side
    3,317.70x = 7,318,534.35
  5. Step 5: Solve for x
    x = 7,318,534.35/3,317.70
  6. Step 6: Final answer
    x = 2,205.91

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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.