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Finding the Fourth Proportional to 13,728.70, 18,946.40 and 7,760.89

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Solution

The fourth proportional to 13,728.70, 18,946.40 and 7,760.89 is: 10,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.70 : 18,946.40 = 7,760.89 : x
  2. Step 2: Convert to fraction form
    13,728.70/18,946.40 = 7,760.89/x
  3. Step 3: Cross multiply
    13,728.70x = 18,946.40 × 7,760.89
  4. Step 4: Simplify right side
    13,728.70x = 147,040,911.17
  5. Step 5: Solve for x
    x = 147,040,911.17/13,728.70
  6. Step 6: Final answer
    x = 10,710.47

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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.