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Finding the Fourth Proportional to 12,632.77, 18,941.05 and 5,242.33

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Solution

The fourth proportional to 12,632.77, 18,941.05 and 5,242.33 is: 7,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.77 : 18,941.05 = 5,242.33 : x
  2. Step 2: Convert to fraction form
    12,632.77/18,941.05 = 5,242.33/x
  3. Step 3: Cross multiply
    12,632.77x = 18,941.05 × 5,242.33
  4. Step 4: Simplify right side
    12,632.77x = 99,295,113.73
  5. Step 5: Solve for x
    x = 99,295,113.73/12,632.77
  6. Step 6: Final answer
    x = 7,860.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.