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Finding the Fourth Proportional to 6,614, 9,921.04 and 6,176.64

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Solution

The fourth proportional to 6,614, 9,921.04 and 6,176.64 is: 9,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614 : 9,921.04 = 6,176.64 : x
  2. Step 2: Convert to fraction form
    6,614/9,921.04 = 6,176.64/x
  3. Step 3: Cross multiply
    6,614x = 9,921.04 × 6,176.64
  4. Step 4: Simplify right side
    6,614x = 61,278,692.51
  5. Step 5: Solve for x
    x = 61,278,692.51/6,614
  6. Step 6: Final answer
    x = 9,265.00

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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.