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Finding the Fourth Proportional to 2,910.47, 4,366.44 and 830.48

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Solution

The fourth proportional to 2,910.47, 4,366.44 and 830.48 is: 1,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.47 : 4,366.44 = 830.48 : x
  2. Step 2: Convert to fraction form
    2,910.47/4,366.44 = 830.48/x
  3. Step 3: Cross multiply
    2,910.47x = 4,366.44 × 830.48
  4. Step 4: Simplify right side
    2,910.47x = 3,626,232.57
  5. Step 5: Solve for x
    x = 3,626,232.57/2,910.47
  6. Step 6: Final answer
    x = 1,245.93

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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.