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Finding the Fourth Proportional to 6,637.76, 9,950.88 and 3,896

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Solution

The fourth proportional to 6,637.76, 9,950.88 and 3,896 is: 5,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.76 : 9,950.88 = 3,896 : x
  2. Step 2: Convert to fraction form
    6,637.76/9,950.88 = 3,896/x
  3. Step 3: Cross multiply
    6,637.76x = 9,950.88 × 3,896
  4. Step 4: Simplify right side
    6,637.76x = 38,768,628.48
  5. Step 5: Solve for x
    x = 38,768,628.48/6,637.76
  6. Step 6: Final answer
    x = 5,840.62

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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.