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Finding the Fourth Proportional to 19,668, 29,507.76 and 5,817.36

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Solution

The fourth proportional to 19,668, 29,507.76 and 5,817.36 is: 8,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668 : 29,507.76 = 5,817.36 : x
  2. Step 2: Convert to fraction form
    19,668/29,507.76 = 5,817.36/x
  3. Step 3: Cross multiply
    19,668x = 29,507.76 × 5,817.36
  4. Step 4: Simplify right side
    19,668x = 171,657,262.71
  5. Step 5: Solve for x
    x = 171,657,262.71/19,668
  6. Step 6: Final answer
    x = 8,727.74

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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.