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Finding the Fourth Proportional to 6,453, 8,905.08 and 3,658.50

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Solution

The fourth proportional to 6,453, 8,905.08 and 3,658.50 is: 5,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453 : 8,905.08 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    6,453/8,905.08 = 3,658.50/x
  3. Step 3: Cross multiply
    6,453x = 8,905.08 × 3,658.50
  4. Step 4: Simplify right side
    6,453x = 32,579,235.18
  5. Step 5: Solve for x
    x = 32,579,235.18/6,453
  6. Step 6: Final answer
    x = 5,048.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.