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Finding the Fourth Proportional to 34,409, 51,622.14 and 9,785

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Solution

The fourth proportional to 34,409, 51,622.14 and 9,785 is: 14,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409 : 51,622.14 = 9,785 : x
  2. Step 2: Convert to fraction form
    34,409/51,622.14 = 9,785/x
  3. Step 3: Cross multiply
    34,409x = 51,622.14 × 9,785
  4. Step 4: Simplify right side
    34,409x = 505,122,639.90
  5. Step 5: Solve for x
    x = 505,122,639.90/34,409
  6. Step 6: Final answer
    x = 14,679.96

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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.