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Finding the Fourth Proportional to 7,810.66, 11,684.89 and 6,782.77

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Solution

The fourth proportional to 7,810.66, 11,684.89 and 6,782.77 is: 10,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.66 : 11,684.89 = 6,782.77 : x
  2. Step 2: Convert to fraction form
    7,810.66/11,684.89 = 6,782.77/x
  3. Step 3: Cross multiply
    7,810.66x = 11,684.89 × 6,782.77
  4. Step 4: Simplify right side
    7,810.66x = 79,255,921.35
  5. Step 5: Solve for x
    x = 79,255,921.35/7,810.66
  6. Step 6: Final answer
    x = 10,147.15

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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.