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Finding the Fourth Proportional to 7,867, 10,857.54 and 5,071.96

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Solution

The fourth proportional to 7,867, 10,857.54 and 5,071.96 is: 7,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867 : 10,857.54 = 5,071.96 : x
  2. Step 2: Convert to fraction form
    7,867/10,857.54 = 5,071.96/x
  3. Step 3: Cross multiply
    7,867x = 10,857.54 × 5,071.96
  4. Step 4: Simplify right side
    7,867x = 55,069,008.58
  5. Step 5: Solve for x
    x = 55,069,008.58/7,867
  6. Step 6: Final answer
    x = 7,000.00

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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.