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Finding the Fourth Proportional to 13,140.69, 19,683.01 and 10,631.11

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Solution

The fourth proportional to 13,140.69, 19,683.01 and 10,631.11 is: 15,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.69 : 19,683.01 = 10,631.11 : x
  2. Step 2: Convert to fraction form
    13,140.69/19,683.01 = 10,631.11/x
  3. Step 3: Cross multiply
    13,140.69x = 19,683.01 × 10,631.11
  4. Step 4: Simplify right side
    13,140.69x = 209,252,244.44
  5. Step 5: Solve for x
    x = 209,252,244.44/13,140.69
  6. Step 6: Final answer
    x = 15,923.99

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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.