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Finding the Fourth Proportional to 12,577.75, 18,875.27 and 4,369.75

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Solution

The fourth proportional to 12,577.75, 18,875.27 and 4,369.75 is: 6,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.75 : 18,875.27 = 4,369.75 : x
  2. Step 2: Convert to fraction form
    12,577.75/18,875.27 = 4,369.75/x
  3. Step 3: Cross multiply
    12,577.75x = 18,875.27 × 4,369.75
  4. Step 4: Simplify right side
    12,577.75x = 82,480,211.08
  5. Step 5: Solve for x
    x = 82,480,211.08/12,577.75
  6. Step 6: Final answer
    x = 6,557.63

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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.