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Finding the Fourth Proportional to 28,614.88, 42,921.51 and 7,838.38

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Solution

The fourth proportional to 28,614.88, 42,921.51 and 7,838.38 is: 11,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,614.88 : 42,921.51 = 7,838.38 : x
  2. Step 2: Convert to fraction form
    28,614.88/42,921.51 = 7,838.38/x
  3. Step 3: Cross multiply
    28,614.88x = 42,921.51 × 7,838.38
  4. Step 4: Simplify right side
    28,614.88x = 336,435,105.55
  5. Step 5: Solve for x
    x = 336,435,105.55/28,614.88
  6. Step 6: Final answer
    x = 11,757.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.