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Finding the Fourth Proportional to 14,409, 19,884.42 and 7,785

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Solution

The fourth proportional to 14,409, 19,884.42 and 7,785 is: 10,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409 : 19,884.42 = 7,785 : x
  2. Step 2: Convert to fraction form
    14,409/19,884.42 = 7,785/x
  3. Step 3: Cross multiply
    14,409x = 19,884.42 × 7,785
  4. Step 4: Simplify right side
    14,409x = 154,800,209.70
  5. Step 5: Solve for x
    x = 154,800,209.70/14,409
  6. Step 6: Final answer
    x = 10,743.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.