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Finding the Fourth Proportional to 7,156.77, 9,876.85 and 3,971.09

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Solution

The fourth proportional to 7,156.77, 9,876.85 and 3,971.09 is: 5,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.77 : 9,876.85 = 3,971.09 : x
  2. Step 2: Convert to fraction form
    7,156.77/9,876.85 = 3,971.09/x
  3. Step 3: Cross multiply
    7,156.77x = 9,876.85 × 3,971.09
  4. Step 4: Simplify right side
    7,156.77x = 39,221,800.95
  5. Step 5: Solve for x
    x = 39,221,800.95/7,156.77
  6. Step 6: Final answer
    x = 5,480.38

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1.5x scale

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.