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Finding the Fourth Proportional to 3,156.62, 4,357.05 and 1,830.62

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Solution

The fourth proportional to 3,156.62, 4,357.05 and 1,830.62 is: 2,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.62 : 4,357.05 = 1,830.62 : x
  2. Step 2: Convert to fraction form
    3,156.62/4,357.05 = 1,830.62/x
  3. Step 3: Cross multiply
    3,156.62x = 4,357.05 × 1,830.62
  4. Step 4: Simplify right side
    3,156.62x = 7,976,102.87
  5. Step 5: Solve for x
    x = 7,976,102.87/3,156.62
  6. Step 6: Final answer
    x = 2,526.79

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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.