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Finding the Fourth Proportional to 19,588, 29,378.53 and 8,911.88

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Solution

The fourth proportional to 19,588, 29,378.53 and 8,911.88 is: 13,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588 : 29,378.53 = 8,911.88 : x
  2. Step 2: Convert to fraction form
    19,588/29,378.53 = 8,911.88/x
  3. Step 3: Cross multiply
    19,588x = 29,378.53 × 8,911.88
  4. Step 4: Simplify right side
    19,588x = 261,817,933.94
  5. Step 5: Solve for x
    x = 261,817,933.94/19,588
  6. Step 6: Final answer
    x = 13,366.24

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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.