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Finding the Fourth Proportional to 12,538.80, 17,303 and 7,500.04

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Solution

The fourth proportional to 12,538.80, 17,303 and 7,500.04 is: 10,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.80 : 17,303 = 7,500.04 : x
  2. Step 2: Convert to fraction form
    12,538.80/17,303 = 7,500.04/x
  3. Step 3: Cross multiply
    12,538.80x = 17,303 × 7,500.04
  4. Step 4: Simplify right side
    12,538.80x = 129,773,192.12
  5. Step 5: Solve for x
    x = 129,773,192.12/12,538.80
  6. Step 6: Final answer
    x = 10,349.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.