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Finding the Fourth Proportional to 7,859.70, 11,813.85 and 7,713.90

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Solution

The fourth proportional to 7,859.70, 11,813.85 and 7,713.90 is: 11,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.70 : 11,813.85 = 7,713.90 : x
  2. Step 2: Convert to fraction form
    7,859.70/11,813.85 = 7,713.90/x
  3. Step 3: Cross multiply
    7,859.70x = 11,813.85 × 7,713.90
  4. Step 4: Simplify right side
    7,859.70x = 91,130,857.52
  5. Step 5: Solve for x
    x = 91,130,857.52/7,859.70
  6. Step 6: Final answer
    x = 11,594.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.