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Finding the Fourth Proportional to 10,377.54, 14,321.08 and 5,661.90

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Solution

The fourth proportional to 10,377.54, 14,321.08 and 5,661.90 is: 7,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.54 : 14,321.08 = 5,661.90 : x
  2. Step 2: Convert to fraction form
    10,377.54/14,321.08 = 5,661.90/x
  3. Step 3: Cross multiply
    10,377.54x = 14,321.08 × 5,661.90
  4. Step 4: Simplify right side
    10,377.54x = 81,084,522.85
  5. Step 5: Solve for x
    x = 81,084,522.85/10,377.54
  6. Step 6: Final answer
    x = 7,813.46

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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.