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Finding the Fourth Proportional to 19,687.66, 29,505.06 and 9,006.90

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Solution

The fourth proportional to 19,687.66, 29,505.06 and 9,006.90 is: 13,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.66 : 29,505.06 = 9,006.90 : x
  2. Step 2: Convert to fraction form
    19,687.66/29,505.06 = 9,006.90/x
  3. Step 3: Cross multiply
    19,687.66x = 29,505.06 × 9,006.90
  4. Step 4: Simplify right side
    19,687.66x = 265,749,014.27
  5. Step 5: Solve for x
    x = 265,749,014.27/19,687.66
  6. Step 6: Final answer
    x = 13,498.25

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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.