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Finding the Fourth Proportional to 5,601.76, 8,385.36 and 3,649.76

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Solution

The fourth proportional to 5,601.76, 8,385.36 and 3,649.76 is: 5,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.76 : 8,385.36 = 3,649.76 : x
  2. Step 2: Convert to fraction form
    5,601.76/8,385.36 = 3,649.76/x
  3. Step 3: Cross multiply
    5,601.76x = 8,385.36 × 3,649.76
  4. Step 4: Simplify right side
    5,601.76x = 30,604,551.51
  5. Step 5: Solve for x
    x = 30,604,551.51/5,601.76
  6. Step 6: Final answer
    x = 5,463.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.