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Finding the Fourth Proportional to 13,032.78, 17,986.68 and 7,369.80

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Solution

The fourth proportional to 13,032.78, 17,986.68 and 7,369.80 is: 10,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.78 : 17,986.68 = 7,369.80 : x
  2. Step 2: Convert to fraction form
    13,032.78/17,986.68 = 7,369.80/x
  3. Step 3: Cross multiply
    13,032.78x = 17,986.68 × 7,369.80
  4. Step 4: Simplify right side
    13,032.78x = 132,558,234.26
  5. Step 5: Solve for x
    x = 132,558,234.26/13,032.78
  6. Step 6: Final answer
    x = 10,171.14

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1.5x scale

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.