Home / 10,102-13,941.84-5,913.76

Finding the Fourth Proportional to 10,102, 13,941.84 and 5,913.76

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Solution

The fourth proportional to 10,102, 13,941.84 and 5,913.76 is: 8,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102 : 13,941.84 = 5,913.76 : x
  2. Step 2: Convert to fraction form
    10,102/13,941.84 = 5,913.76/x
  3. Step 3: Cross multiply
    10,102x = 13,941.84 × 5,913.76
  4. Step 4: Simplify right side
    10,102x = 82,448,695.72
  5. Step 5: Solve for x
    x = 82,448,695.72/10,102
  6. Step 6: Final answer
    x = 8,161.62

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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.