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Finding the Fourth Proportional to 34,178.40, 51,212.40 and 19,343.20

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Solution

The fourth proportional to 34,178.40, 51,212.40 and 19,343.20 is: 28,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.40 : 51,212.40 = 19,343.20 : x
  2. Step 2: Convert to fraction form
    34,178.40/51,212.40 = 19,343.20/x
  3. Step 3: Cross multiply
    34,178.40x = 51,212.40 × 19,343.20
  4. Step 4: Simplify right side
    34,178.40x = 990,611,695.68
  5. Step 5: Solve for x
    x = 990,611,695.68/34,178.40
  6. Step 6: Final answer
    x = 28,983.56

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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.