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Finding the Fourth Proportional to 19,807.29, 29,701.65 and 11,489.67

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Solution

The fourth proportional to 19,807.29, 29,701.65 and 11,489.67 is: 17,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.29 : 29,701.65 = 11,489.67 : x
  2. Step 2: Convert to fraction form
    19,807.29/29,701.65 = 11,489.67/x
  3. Step 3: Cross multiply
    19,807.29x = 29,701.65 × 11,489.67
  4. Step 4: Simplify right side
    19,807.29x = 341,262,156.96
  5. Step 5: Solve for x
    x = 341,262,156.96/19,807.29
  6. Step 6: Final answer
    x = 17,229.12

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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.