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Finding the Fourth Proportional to 6,403.84, 8,840.25 and 4,516.96

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Solution

The fourth proportional to 6,403.84, 8,840.25 and 4,516.96 is: 6,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.84 : 8,840.25 = 4,516.96 : x
  2. Step 2: Convert to fraction form
    6,403.84/8,840.25 = 4,516.96/x
  3. Step 3: Cross multiply
    6,403.84x = 8,840.25 × 4,516.96
  4. Step 4: Simplify right side
    6,403.84x = 39,931,055.64
  5. Step 5: Solve for x
    x = 39,931,055.64/6,403.84
  6. Step 6: Final answer
    x = 6,235.49

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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.