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Finding the Fourth Proportional to 19,359.70, 29,019 and 12,317.56

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Solution

The fourth proportional to 19,359.70, 29,019 and 12,317.56 is: 18,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,359.70 : 29,019 = 12,317.56 : x
  2. Step 2: Convert to fraction form
    19,359.70/29,019 = 12,317.56/x
  3. Step 3: Cross multiply
    19,359.70x = 29,019 × 12,317.56
  4. Step 4: Simplify right side
    19,359.70x = 357,443,273.64
  5. Step 5: Solve for x
    x = 357,443,273.64/19,359.70
  6. Step 6: Final answer
    x = 18,463.27

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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.