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Finding the Fourth Proportional to 6,505, 9,702.69 and 5,452.81

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Solution

The fourth proportional to 6,505, 9,702.69 and 5,452.81 is: 8,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505 : 9,702.69 = 5,452.81 : x
  2. Step 2: Convert to fraction form
    6,505/9,702.69 = 5,452.81/x
  3. Step 3: Cross multiply
    6,505x = 9,702.69 × 5,452.81
  4. Step 4: Simplify right side
    6,505x = 52,906,925.06
  5. Step 5: Solve for x
    x = 52,906,925.06/6,505
  6. Step 6: Final answer
    x = 8,133.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.