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Finding the Fourth Proportional to 13,566, 18,719.50 and 7,901.99

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Solution

The fourth proportional to 13,566, 18,719.50 and 7,901.99 is: 10,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566 : 18,719.50 = 7,901.99 : x
  2. Step 2: Convert to fraction form
    13,566/18,719.50 = 7,901.99/x
  3. Step 3: Cross multiply
    13,566x = 18,719.50 × 7,901.99
  4. Step 4: Simplify right side
    13,566x = 147,921,301.81
  5. Step 5: Solve for x
    x = 147,921,301.81/13,566
  6. Step 6: Final answer
    x = 10,903.83

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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.