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Finding the Fourth Proportional to 7,871.77, 10,868.27 and 4,892.05

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Solution

The fourth proportional to 7,871.77, 10,868.27 and 4,892.05 is: 6,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.77 : 10,868.27 = 4,892.05 : x
  2. Step 2: Convert to fraction form
    7,871.77/10,868.27 = 4,892.05/x
  3. Step 3: Cross multiply
    7,871.77x = 10,868.27 × 4,892.05
  4. Step 4: Simplify right side
    7,871.77x = 53,168,120.25
  5. Step 5: Solve for x
    x = 53,168,120.25/7,871.77
  6. Step 6: Final answer
    x = 6,754.28

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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.