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Finding the Fourth Proportional to 7,809.66, 11,683.40 and 6,781.77

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Solution

The fourth proportional to 7,809.66, 11,683.40 and 6,781.77 is: 10,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.66 : 11,683.40 = 6,781.77 : x
  2. Step 2: Convert to fraction form
    7,809.66/11,683.40 = 6,781.77/x
  3. Step 3: Cross multiply
    7,809.66x = 11,683.40 × 6,781.77
  4. Step 4: Simplify right side
    7,809.66x = 79,234,097.71
  5. Step 5: Solve for x
    x = 79,234,097.71/7,809.66
  6. Step 6: Final answer
    x = 10,145.65

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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.