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Finding the Fourth Proportional to 5,709.40, 7,880 and 3,319.70

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Solution

The fourth proportional to 5,709.40, 7,880 and 3,319.70 is: 4,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.40 : 7,880 = 3,319.70 : x
  2. Step 2: Convert to fraction form
    5,709.40/7,880 = 3,319.70/x
  3. Step 3: Cross multiply
    5,709.40x = 7,880 × 3,319.70
  4. Step 4: Simplify right side
    5,709.40x = 26,159,236
  5. Step 5: Solve for x
    x = 26,159,236/5,709.40
  6. Step 6: Final answer
    x = 4,581.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.