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Finding the Fourth Proportional to 19,560.54, 29,345.70 and 7,874.70

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Solution

The fourth proportional to 19,560.54, 29,345.70 and 7,874.70 is: 11,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,560.54 : 29,345.70 = 7,874.70 : x
  2. Step 2: Convert to fraction form
    19,560.54/29,345.70 = 7,874.70/x
  3. Step 3: Cross multiply
    19,560.54x = 29,345.70 × 7,874.70
  4. Step 4: Simplify right side
    19,560.54x = 231,088,583.79
  5. Step 5: Solve for x
    x = 231,088,583.79/19,560.54
  6. Step 6: Final answer
    x = 11,814.02

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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.