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Finding the Fourth Proportional to 5,107.84, 7,661.94 and 1,776.40

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Solution

The fourth proportional to 5,107.84, 7,661.94 and 1,776.40 is: 2,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.84 : 7,661.94 = 1,776.40 : x
  2. Step 2: Convert to fraction form
    5,107.84/7,661.94 = 1,776.40/x
  3. Step 3: Cross multiply
    5,107.84x = 7,661.94 × 1,776.40
  4. Step 4: Simplify right side
    5,107.84x = 13,610,670.22
  5. Step 5: Solve for x
    x = 13,610,670.22/5,107.84
  6. Step 6: Final answer
    x = 2,664.66

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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.