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Finding the Fourth Proportional to 4,425, 6,637.04 and 2,776.66

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Solution

The fourth proportional to 4,425, 6,637.04 and 2,776.66 is: 4,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425 : 6,637.04 = 2,776.66 : x
  2. Step 2: Convert to fraction form
    4,425/6,637.04 = 2,776.66/x
  3. Step 3: Cross multiply
    4,425x = 6,637.04 × 2,776.66
  4. Step 4: Simplify right side
    4,425x = 18,428,803.49
  5. Step 5: Solve for x
    x = 18,428,803.49/4,425
  6. Step 6: Final answer
    x = 4,164.70

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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.