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Finding the Fourth Proportional to 5,286.23, 7,890.75 and 4,900.77

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Solution

The fourth proportional to 5,286.23, 7,890.75 and 4,900.77 is: 7,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.23 : 7,890.75 = 4,900.77 : x
  2. Step 2: Convert to fraction form
    5,286.23/7,890.75 = 4,900.77/x
  3. Step 3: Cross multiply
    5,286.23x = 7,890.75 × 4,900.77
  4. Step 4: Simplify right side
    5,286.23x = 38,670,750.88
  5. Step 5: Solve for x
    x = 38,670,750.88/5,286.23
  6. Step 6: Final answer
    x = 7,315.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.