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Finding the Fourth Proportional to 3,157.65, 4,353.17 and 1,977.93

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Solution

The fourth proportional to 3,157.65, 4,353.17 and 1,977.93 is: 2,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.65 : 4,353.17 = 1,977.93 : x
  2. Step 2: Convert to fraction form
    3,157.65/4,353.17 = 1,977.93/x
  3. Step 3: Cross multiply
    3,157.65x = 4,353.17 × 1,977.93
  4. Step 4: Simplify right side
    3,157.65x = 8,610,255.65
  5. Step 5: Solve for x
    x = 8,610,255.65/3,157.65
  6. Step 6: Final answer
    x = 2,726.79

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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.