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Finding the Fourth Proportional to 50,827, 70,141.28 and 28,471

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Solution

The fourth proportional to 50,827, 70,141.28 and 28,471 is: 39,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,827 : 70,141.28 = 28,471 : x
  2. Step 2: Convert to fraction form
    50,827/70,141.28 = 28,471/x
  3. Step 3: Cross multiply
    50,827x = 70,141.28 × 28,471
  4. Step 4: Simplify right side
    50,827x = 1,996,992,382.88
  5. Step 5: Solve for x
    x = 1,996,992,382.88/50,827
  6. Step 6: Final answer
    x = 39,289.99

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1.5x scale

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.