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Finding the Fourth Proportional to 5,768.64, 8,640.93 and 5,353.53

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Solution

The fourth proportional to 5,768.64, 8,640.93 and 5,353.53 is: 8,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.64 : 8,640.93 = 5,353.53 : x
  2. Step 2: Convert to fraction form
    5,768.64/8,640.93 = 5,353.53/x
  3. Step 3: Cross multiply
    5,768.64x = 8,640.93 × 5,353.53
  4. Step 4: Simplify right side
    5,768.64x = 46,259,477.98
  5. Step 5: Solve for x
    x = 46,259,477.98/5,768.64
  6. Step 6: Final answer
    x = 8,019.13

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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.