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Finding the Fourth Proportional to 5,762.93, 8,640 and 2,643.82

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Solution

The fourth proportional to 5,762.93, 8,640 and 2,643.82 is: 3,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.93 : 8,640 = 2,643.82 : x
  2. Step 2: Convert to fraction form
    5,762.93/8,640 = 2,643.82/x
  3. Step 3: Cross multiply
    5,762.93x = 8,640 × 2,643.82
  4. Step 4: Simplify right side
    5,762.93x = 22,842,583.20
  5. Step 5: Solve for x
    x = 22,842,583.20/5,762.93
  6. Step 6: Final answer
    x = 3,963.71

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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.