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Finding the Fourth Proportional to 7,830, 10,810.44 and 6,989.27

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Solution

The fourth proportional to 7,830, 10,810.44 and 6,989.27 is: 9,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 10,810.44 = 6,989.27 : x
  2. Step 2: Convert to fraction form
    7,830/10,810.44 = 6,989.27/x
  3. Step 3: Cross multiply
    7,830x = 10,810.44 × 6,989.27
  4. Step 4: Simplify right side
    7,830x = 75,557,029.93
  5. Step 5: Solve for x
    x = 75,557,029.93/7,830
  6. Step 6: Final answer
    x = 9,649.68

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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.