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Finding the Fourth Proportional to 8,643.50, 11,929.47 and 6,543.98

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Solution

The fourth proportional to 8,643.50, 11,929.47 and 6,543.98 is: 9,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.50 : 11,929.47 = 6,543.98 : x
  2. Step 2: Convert to fraction form
    8,643.50/11,929.47 = 6,543.98/x
  3. Step 3: Cross multiply
    8,643.50x = 11,929.47 × 6,543.98
  4. Step 4: Simplify right side
    8,643.50x = 78,066,213.09
  5. Step 5: Solve for x
    x = 78,066,213.09/8,643.50
  6. Step 6: Final answer
    x = 9,031.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.