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Finding the Fourth Proportional to 13,663, 18,851.70 and 7,693.48

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Solution

The fourth proportional to 13,663, 18,851.70 and 7,693.48 is: 10,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663 : 18,851.70 = 7,693.48 : x
  2. Step 2: Convert to fraction form
    13,663/18,851.70 = 7,693.48/x
  3. Step 3: Cross multiply
    13,663x = 18,851.70 × 7,693.48
  4. Step 4: Simplify right side
    13,663x = 145,035,176.92
  5. Step 5: Solve for x
    x = 145,035,176.92/13,663
  6. Step 6: Final answer
    x = 10,615.18

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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.