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Finding the Fourth Proportional to 12,577.50, 18,874.89 and 4,369.50

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Solution

The fourth proportional to 12,577.50, 18,874.89 and 4,369.50 is: 6,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.50 : 18,874.89 = 4,369.50 : x
  2. Step 2: Convert to fraction form
    12,577.50/18,874.89 = 4,369.50/x
  3. Step 3: Cross multiply
    12,577.50x = 18,874.89 × 4,369.50
  4. Step 4: Simplify right side
    12,577.50x = 82,473,831.86
  5. Step 5: Solve for x
    x = 82,473,831.86/12,577.50
  6. Step 6: Final answer
    x = 6,557.25

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1.5x scale

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.