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Finding the Fourth Proportional to 7,914, 10,921.50 and 5,124.36

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Solution

The fourth proportional to 7,914, 10,921.50 and 5,124.36 is: 7,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914 : 10,921.50 = 5,124.36 : x
  2. Step 2: Convert to fraction form
    7,914/10,921.50 = 5,124.36/x
  3. Step 3: Cross multiply
    7,914x = 10,921.50 × 5,124.36
  4. Step 4: Simplify right side
    7,914x = 55,965,697.74
  5. Step 5: Solve for x
    x = 55,965,697.74/7,914
  6. Step 6: Final answer
    x = 7,071.73

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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.