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Finding the Fourth Proportional to 8,407.62, 11,602.11 and 4,871.97

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Solution

The fourth proportional to 8,407.62, 11,602.11 and 4,871.97 is: 6,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.62 : 11,602.11 = 4,871.97 : x
  2. Step 2: Convert to fraction form
    8,407.62/11,602.11 = 4,871.97/x
  3. Step 3: Cross multiply
    8,407.62x = 11,602.11 × 4,871.97
  4. Step 4: Simplify right side
    8,407.62x = 56,525,131.86
  5. Step 5: Solve for x
    x = 56,525,131.86/8,407.62
  6. Step 6: Final answer
    x = 6,723.08

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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.