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Finding the Fourth Proportional to 12,538.93, 17,299.14 and 7,503.29

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Solution

The fourth proportional to 12,538.93, 17,299.14 and 7,503.29 is: 10,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.93 : 17,299.14 = 7,503.29 : x
  2. Step 2: Convert to fraction form
    12,538.93/17,299.14 = 7,503.29/x
  3. Step 3: Cross multiply
    12,538.93x = 17,299.14 × 7,503.29
  4. Step 4: Simplify right side
    12,538.93x = 129,800,464.17
  5. Step 5: Solve for x
    x = 129,800,464.17/12,538.93
  6. Step 6: Final answer
    x = 10,351.80

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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.