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Finding the Fourth Proportional to 7,787, 10,747.05 and 5,139.92

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Solution

The fourth proportional to 7,787, 10,747.05 and 5,139.92 is: 7,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787 : 10,747.05 = 5,139.92 : x
  2. Step 2: Convert to fraction form
    7,787/10,747.05 = 5,139.92/x
  3. Step 3: Cross multiply
    7,787x = 10,747.05 × 5,139.92
  4. Step 4: Simplify right side
    7,787x = 55,238,977.24
  5. Step 5: Solve for x
    x = 55,238,977.24/7,787
  6. Step 6: Final answer
    x = 7,093.74

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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.