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Finding the Fourth Proportional to 7,758.88, 10,709.76 and 5,768.80

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Solution

The fourth proportional to 7,758.88, 10,709.76 and 5,768.80 is: 7,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.88 : 10,709.76 = 5,768.80 : x
  2. Step 2: Convert to fraction form
    7,758.88/10,709.76 = 5,768.80/x
  3. Step 3: Cross multiply
    7,758.88x = 10,709.76 × 5,768.80
  4. Step 4: Simplify right side
    7,758.88x = 61,782,463.49
  5. Step 5: Solve for x
    x = 61,782,463.49/7,758.88
  6. Step 6: Final answer
    x = 7,962.81

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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.