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Finding the Fourth Proportional to 8,643.72, 12,962.34 and 4,263.24

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Solution

The fourth proportional to 8,643.72, 12,962.34 and 4,263.24 is: 6,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.72 : 12,962.34 = 4,263.24 : x
  2. Step 2: Convert to fraction form
    8,643.72/12,962.34 = 4,263.24/x
  3. Step 3: Cross multiply
    8,643.72x = 12,962.34 × 4,263.24
  4. Step 4: Simplify right side
    8,643.72x = 55,261,566.38
  5. Step 5: Solve for x
    x = 55,261,566.38/8,643.72
  6. Step 6: Final answer
    x = 6,393.26

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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.