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Finding the Fourth Proportional to 10,709.88, 14,780.20 and 6,729.52

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Solution

The fourth proportional to 10,709.88, 14,780.20 and 6,729.52 is: 9,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.88 : 14,780.20 = 6,729.52 : x
  2. Step 2: Convert to fraction form
    10,709.88/14,780.20 = 6,729.52/x
  3. Step 3: Cross multiply
    10,709.88x = 14,780.20 × 6,729.52
  4. Step 4: Simplify right side
    10,709.88x = 99,463,651.50
  5. Step 5: Solve for x
    x = 99,463,651.50/10,709.88
  6. Step 6: Final answer
    x = 9,287.09

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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.