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Finding the Fourth Proportional to 13,729.63, 18,946.78 and 7,762.47

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Solution

The fourth proportional to 13,729.63, 18,946.78 and 7,762.47 is: 10,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.63 : 18,946.78 = 7,762.47 : x
  2. Step 2: Convert to fraction form
    13,729.63/18,946.78 = 7,762.47/x
  3. Step 3: Cross multiply
    13,729.63x = 18,946.78 × 7,762.47
  4. Step 4: Simplify right side
    13,729.63x = 147,073,791.94
  5. Step 5: Solve for x
    x = 147,073,791.94/13,729.63
  6. Step 6: Final answer
    x = 10,712.15

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1.5x scale

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.