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Finding the Fourth Proportional to 7,689, 10,611.56 and 4,377

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Solution

The fourth proportional to 7,689, 10,611.56 and 4,377 is: 6,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689 : 10,611.56 = 4,377 : x
  2. Step 2: Convert to fraction form
    7,689/10,611.56 = 4,377/x
  3. Step 3: Cross multiply
    7,689x = 10,611.56 × 4,377
  4. Step 4: Simplify right side
    7,689x = 46,446,798.12
  5. Step 5: Solve for x
    x = 46,446,798.12/7,689
  6. Step 6: Final answer
    x = 6,040.68

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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.