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Finding the Fourth Proportional to 13,007, 19,515.63 and 6,763.10

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Solution

The fourth proportional to 13,007, 19,515.63 and 6,763.10 is: 10,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007 : 19,515.63 = 6,763.10 : x
  2. Step 2: Convert to fraction form
    13,007/19,515.63 = 6,763.10/x
  3. Step 3: Cross multiply
    13,007x = 19,515.63 × 6,763.10
  4. Step 4: Simplify right side
    13,007x = 131,986,157.25
  5. Step 5: Solve for x
    x = 131,986,157.25/13,007
  6. Step 6: Final answer
    x = 10,147.32

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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.