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Finding the Fourth Proportional to 19,376.24, 29,046 and 7,680.92

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Solution

The fourth proportional to 19,376.24, 29,046 and 7,680.92 is: 11,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,376.24 : 29,046 = 7,680.92 : x
  2. Step 2: Convert to fraction form
    19,376.24/29,046 = 7,680.92/x
  3. Step 3: Cross multiply
    19,376.24x = 29,046 × 7,680.92
  4. Step 4: Simplify right side
    19,376.24x = 223,100,002.32
  5. Step 5: Solve for x
    x = 223,100,002.32/19,376.24
  6. Step 6: Final answer
    x = 11,514.10

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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.