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Finding the Fourth Proportional to 51,002, 70,381.24 and 28,340.92

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Solution

The fourth proportional to 51,002, 70,381.24 and 28,340.92 is: 39,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,002 : 70,381.24 = 28,340.92 : x
  2. Step 2: Convert to fraction form
    51,002/70,381.24 = 28,340.92/x
  3. Step 3: Cross multiply
    51,002x = 70,381.24 × 28,340.92
  4. Step 4: Simplify right side
    51,002x = 1,994,669,092.34
  5. Step 5: Solve for x
    x = 1,994,669,092.34/51,002
  6. Step 6: Final answer
    x = 39,109.62

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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.