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Finding the Fourth Proportional to 19,161.16, 28,732 and 8,764

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Solution

The fourth proportional to 19,161.16, 28,732 and 8,764 is: 13,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161.16 : 28,732 = 8,764 : x
  2. Step 2: Convert to fraction form
    19,161.16/28,732 = 8,764/x
  3. Step 3: Cross multiply
    19,161.16x = 28,732 × 8,764
  4. Step 4: Simplify right side
    19,161.16x = 251,807,248
  5. Step 5: Solve for x
    x = 251,807,248/19,161.16
  6. Step 6: Final answer
    x = 13,141.55

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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.