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Finding the Fourth Proportional to 8,606, 11,875.12 and 4,777.58

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Solution

The fourth proportional to 8,606, 11,875.12 and 4,777.58 is: 6,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606 : 11,875.12 = 4,777.58 : x
  2. Step 2: Convert to fraction form
    8,606/11,875.12 = 4,777.58/x
  3. Step 3: Cross multiply
    8,606x = 11,875.12 × 4,777.58
  4. Step 4: Simplify right side
    8,606x = 56,734,335.81
  5. Step 5: Solve for x
    x = 56,734,335.81/8,606
  6. Step 6: Final answer
    x = 6,592.42

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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.