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Finding the Fourth Proportional to 7,871.15, 10,858.02 and 4,682.18

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Solution

The fourth proportional to 7,871.15, 10,858.02 and 4,682.18 is: 6,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.15 : 10,858.02 = 4,682.18 : x
  2. Step 2: Convert to fraction form
    7,871.15/10,858.02 = 4,682.18/x
  3. Step 3: Cross multiply
    7,871.15x = 10,858.02 × 4,682.18
  4. Step 4: Simplify right side
    7,871.15x = 50,839,149.79
  5. Step 5: Solve for x
    x = 50,839,149.79/7,871.15
  6. Step 6: Final answer
    x = 6,458.93

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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.