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Finding the Fourth Proportional to 12,805.70, 17,673.59 and 7,502.63

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Solution

The fourth proportional to 12,805.70, 17,673.59 and 7,502.63 is: 10,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.70 : 17,673.59 = 7,502.63 : x
  2. Step 2: Convert to fraction form
    12,805.70/17,673.59 = 7,502.63/x
  3. Step 3: Cross multiply
    12,805.70x = 17,673.59 × 7,502.63
  4. Step 4: Simplify right side
    12,805.70x = 132,598,336.93
  5. Step 5: Solve for x
    x = 132,598,336.93/12,805.70
  6. Step 6: Final answer
    x = 10,354.64

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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.