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Finding the Fourth Proportional to 7,871.51, 10,855.20 and 6,076.13

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Solution

The fourth proportional to 7,871.51, 10,855.20 and 6,076.13 is: 8,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.51 : 10,855.20 = 6,076.13 : x
  2. Step 2: Convert to fraction form
    7,871.51/10,855.20 = 6,076.13/x
  3. Step 3: Cross multiply
    7,871.51x = 10,855.20 × 6,076.13
  4. Step 4: Simplify right side
    7,871.51x = 65,957,606.38
  5. Step 5: Solve for x
    x = 65,957,606.38/7,871.51
  6. Step 6: Final answer
    x = 8,379.28

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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.