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Finding the Fourth Proportional to 19,585.36, 29,367 and 6,434.20

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Solution

The fourth proportional to 19,585.36, 29,367 and 6,434.20 is: 9,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.36 : 29,367 = 6,434.20 : x
  2. Step 2: Convert to fraction form
    19,585.36/29,367 = 6,434.20/x
  3. Step 3: Cross multiply
    19,585.36x = 29,367 × 6,434.20
  4. Step 4: Simplify right side
    19,585.36x = 188,953,151.40
  5. Step 5: Solve for x
    x = 188,953,151.40/19,585.36
  6. Step 6: Final answer
    x = 9,647.67

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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.