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Finding the Fourth Proportional to 10,708.74, 14,771.39 and 7,728.95

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Solution

The fourth proportional to 10,708.74, 14,771.39 and 7,728.95 is: 10,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.74 : 14,771.39 = 7,728.95 : x
  2. Step 2: Convert to fraction form
    10,708.74/14,771.39 = 7,728.95/x
  3. Step 3: Cross multiply
    10,708.74x = 14,771.39 × 7,728.95
  4. Step 4: Simplify right side
    10,708.74x = 114,167,418.69
  5. Step 5: Solve for x
    x = 114,167,418.69/10,708.74
  6. Step 6: Final answer
    x = 10,661.14

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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.