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Finding the Fourth Proportional to 19,515.78, 29,274.87 and 7,827.48

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Solution

The fourth proportional to 19,515.78, 29,274.87 and 7,827.48 is: 11,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,515.78 : 29,274.87 = 7,827.48 : x
  2. Step 2: Convert to fraction form
    19,515.78/29,274.87 = 7,827.48/x
  3. Step 3: Cross multiply
    19,515.78x = 29,274.87 × 7,827.48
  4. Step 4: Simplify right side
    19,515.78x = 229,148,459.43
  5. Step 5: Solve for x
    x = 229,148,459.43/19,515.78
  6. Step 6: Final answer
    x = 11,741.70

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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.