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Finding the Fourth Proportional to 3,156.86, 4,355.87 and 1,897.93

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Solution

The fourth proportional to 3,156.86, 4,355.87 and 1,897.93 is: 2,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.86 : 4,355.87 = 1,897.93 : x
  2. Step 2: Convert to fraction form
    3,156.86/4,355.87 = 1,897.93/x
  3. Step 3: Cross multiply
    3,156.86x = 4,355.87 × 1,897.93
  4. Step 4: Simplify right side
    3,156.86x = 8,267,130.20
  5. Step 5: Solve for x
    x = 8,267,130.20/3,156.86
  6. Step 6: Final answer
    x = 2,618.79

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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.