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Finding the Fourth Proportional to 19,583.40, 29,364.30 and 7,883.40

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Solution

The fourth proportional to 19,583.40, 29,364.30 and 7,883.40 is: 11,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.40 : 29,364.30 = 7,883.40 : x
  2. Step 2: Convert to fraction form
    19,583.40/29,364.30 = 7,883.40/x
  3. Step 3: Cross multiply
    19,583.40x = 29,364.30 × 7,883.40
  4. Step 4: Simplify right side
    19,583.40x = 231,490,522.62
  5. Step 5: Solve for x
    x = 231,490,522.62/19,583.40
  6. Step 6: Final answer
    x = 11,820.75

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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.