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Finding the Fourth Proportional to 9,783, 14,649.72 and 5,404.14

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Solution

The fourth proportional to 9,783, 14,649.72 and 5,404.14 is: 8,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 14,649.72 = 5,404.14 : x
  2. Step 2: Convert to fraction form
    9,783/14,649.72 = 5,404.14/x
  3. Step 3: Cross multiply
    9,783x = 14,649.72 × 5,404.14
  4. Step 4: Simplify right side
    9,783x = 79,169,137.84
  5. Step 5: Solve for x
    x = 79,169,137.84/9,783
  6. Step 6: Final answer
    x = 8,092.52

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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.