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Finding the Fourth Proportional to 19,314.40, 28,964.40 and 7,625.20

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Solution

The fourth proportional to 19,314.40, 28,964.40 and 7,625.20 is: 11,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.40 : 28,964.40 = 7,625.20 : x
  2. Step 2: Convert to fraction form
    19,314.40/28,964.40 = 7,625.20/x
  3. Step 3: Cross multiply
    19,314.40x = 28,964.40 × 7,625.20
  4. Step 4: Simplify right side
    19,314.40x = 220,859,342.88
  5. Step 5: Solve for x
    x = 220,859,342.88/19,314.40
  6. Step 6: Final answer
    x = 11,434.96

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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.