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Finding the Fourth Proportional to 7,709.86, 11,564.79 and 3,810.34

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Solution

The fourth proportional to 7,709.86, 11,564.79 and 3,810.34 is: 5,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.86 : 11,564.79 = 3,810.34 : x
  2. Step 2: Convert to fraction form
    7,709.86/11,564.79 = 3,810.34/x
  3. Step 3: Cross multiply
    7,709.86x = 11,564.79 × 3,810.34
  4. Step 4: Simplify right side
    7,709.86x = 44,065,781.93
  5. Step 5: Solve for x
    x = 44,065,781.93/7,709.86
  6. Step 6: Final answer
    x = 5,715.51

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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.