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Finding the Fourth Proportional to 12,536.88, 17,302.47 and 7,231.74

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Solution

The fourth proportional to 12,536.88, 17,302.47 and 7,231.74 is: 9,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.88 : 17,302.47 = 7,231.74 : x
  2. Step 2: Convert to fraction form
    12,536.88/17,302.47 = 7,231.74/x
  3. Step 3: Cross multiply
    12,536.88x = 17,302.47 × 7,231.74
  4. Step 4: Simplify right side
    12,536.88x = 125,126,964.40
  5. Step 5: Solve for x
    x = 125,126,964.40/12,536.88
  6. Step 6: Final answer
    x = 9,980.71

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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.